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Finding the Fourth Proportional to 57,150.84, 78,867.32 and 31,657.12

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Solution

The fourth proportional to 57,150.84, 78,867.32 and 31,657.12 is: 43,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,150.84 : 78,867.32 = 31,657.12 : x
  2. Step 2: Convert to fraction form
    57,150.84/78,867.32 = 31,657.12/x
  3. Step 3: Cross multiply
    57,150.84x = 78,867.32 × 31,657.12
  4. Step 4: Simplify right side
    57,150.84x = 2,496,712,213.32
  5. Step 5: Solve for x
    x = 2,496,712,213.32/57,150.84
  6. Step 6: Final answer
    x = 43,686.36

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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.