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Finding the Fourth Proportional to 32,978,715.60, 49,468,073.40 and 24,794,524.20

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Solution

The fourth proportional to 32,978,715.60, 49,468,073.40 and 24,794,524.20 is: 37,191,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978,715.60 : 49,468,073.40 = 24,794,524.20 : x
  2. Step 2: Convert to fraction form
    32,978,715.60/49,468,073.40 = 24,794,524.20/x
  3. Step 3: Cross multiply
    32,978,715.60x = 49,468,073.40 × 24,794,524.20
  4. Step 4: Simplify right side
    32,978,715.60x = 1,226,537,343,043,676.25
  5. Step 5: Solve for x
    x = 1,226,537,343,043,676.25/32,978,715.60
  6. Step 6: Final answer
    x = 37,191,786.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.