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Finding the Fourth Proportional to 24,043.50, 36,069.93 and 7,400.61

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Solution

The fourth proportional to 24,043.50, 36,069.93 and 7,400.61 is: 11,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,043.50 : 36,069.93 = 7,400.61 : x
  2. Step 2: Convert to fraction form
    24,043.50/36,069.93 = 7,400.61/x
  3. Step 3: Cross multiply
    24,043.50x = 36,069.93 × 7,400.61
  4. Step 4: Simplify right side
    24,043.50x = 266,939,484.66
  5. Step 5: Solve for x
    x = 266,939,484.66/24,043.50
  6. Step 6: Final answer
    x = 11,102.36

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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.