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Finding the Fourth Proportional to 57,061.56, 78,744.90 and 31,911

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Solution

The fourth proportional to 57,061.56, 78,744.90 and 31,911 is: 44,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,061.56 : 78,744.90 = 31,911 : x
  2. Step 2: Convert to fraction form
    57,061.56/78,744.90 = 31,911/x
  3. Step 3: Cross multiply
    57,061.56x = 78,744.90 × 31,911
  4. Step 4: Simplify right side
    57,061.56x = 2,512,828,503.90
  5. Step 5: Solve for x
    x = 2,512,828,503.90/57,061.56
  6. Step 6: Final answer
    x = 44,037.15

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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.