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Finding the Fourth Proportional to 37,501.64, 56,187.82 and 24,843.50

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Solution

The fourth proportional to 37,501.64, 56,187.82 and 24,843.50 is: 37,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,501.64 : 56,187.82 = 24,843.50 : x
  2. Step 2: Convert to fraction form
    37,501.64/56,187.82 = 24,843.50/x
  3. Step 3: Cross multiply
    37,501.64x = 56,187.82 × 24,843.50
  4. Step 4: Simplify right side
    37,501.64x = 1,395,902,106.17
  5. Step 5: Solve for x
    x = 1,395,902,106.17/37,501.64
  6. Step 6: Final answer
    x = 37,222.43

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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.