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Finding the Fourth Proportional to 57,010.32, 78,687.72 and 34,650

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Solution

The fourth proportional to 57,010.32, 78,687.72 and 34,650 is: 47,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,010.32 : 78,687.72 = 34,650 : x
  2. Step 2: Convert to fraction form
    57,010.32/78,687.72 = 34,650/x
  3. Step 3: Cross multiply
    57,010.32x = 78,687.72 × 34,650
  4. Step 4: Simplify right side
    57,010.32x = 2,726,529,498
  5. Step 5: Solve for x
    x = 2,726,529,498/57,010.32
  6. Step 6: Final answer
    x = 47,825.19

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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.