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Finding the Fourth Proportional to 69,487.32, 95,892.26 and 37,657

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Solution

The fourth proportional to 69,487.32, 95,892.26 and 37,657 is: 51,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,487.32 : 95,892.26 = 37,657 : x
  2. Step 2: Convert to fraction form
    69,487.32/95,892.26 = 37,657/x
  3. Step 3: Cross multiply
    69,487.32x = 95,892.26 × 37,657
  4. Step 4: Simplify right side
    69,487.32x = 3,611,014,834.82
  5. Step 5: Solve for x
    x = 3,611,014,834.82/69,487.32
  6. Step 6: Final answer
    x = 51,966.53

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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.