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Finding the Fourth Proportional to 51,803.52, 71,512 and 39,862.40

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Solution

The fourth proportional to 51,803.52, 71,512 and 39,862.40 is: 55,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.52 : 71,512 = 39,862.40 : x
  2. Step 2: Convert to fraction form
    51,803.52/71,512 = 39,862.40/x
  3. Step 3: Cross multiply
    51,803.52x = 71,512 × 39,862.40
  4. Step 4: Simplify right side
    51,803.52x = 2,850,639,948.80
  5. Step 5: Solve for x
    x = 2,850,639,948.80/51,803.52
  6. Step 6: Final answer
    x = 55,027.92

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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.