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Finding the Fourth Proportional to 57,152.13, 78,868.16 and 31,657.47

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Solution

The fourth proportional to 57,152.13, 78,868.16 and 31,657.47 is: 43,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.13 : 78,868.16 = 31,657.47 : x
  2. Step 2: Convert to fraction form
    57,152.13/78,868.16 = 31,657.47/x
  3. Step 3: Cross multiply
    57,152.13x = 78,868.16 × 31,657.47
  4. Step 4: Simplify right side
    57,152.13x = 2,496,766,250.87
  5. Step 5: Solve for x
    x = 2,496,766,250.87/57,152.13
  6. Step 6: Final answer
    x = 43,686.32

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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.