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Finding the Fourth Proportional to 62,597.50, 86,384.64 and 37,447

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Solution

The fourth proportional to 62,597.50, 86,384.64 and 37,447 is: 51,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,597.50 : 86,384.64 = 37,447 : x
  2. Step 2: Convert to fraction form
    62,597.50/86,384.64 = 37,447/x
  3. Step 3: Cross multiply
    62,597.50x = 86,384.64 × 37,447
  4. Step 4: Simplify right side
    62,597.50x = 3,234,845,614.08
  5. Step 5: Solve for x
    x = 3,234,845,614.08/62,597.50
  6. Step 6: Final answer
    x = 51,676.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.