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Finding the Fourth Proportional to 49,901.52, 68,862.36 and 29,748

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Solution

The fourth proportional to 49,901.52, 68,862.36 and 29,748 is: 41,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901.52 : 68,862.36 = 29,748 : x
  2. Step 2: Convert to fraction form
    49,901.52/68,862.36 = 29,748/x
  3. Step 3: Cross multiply
    49,901.52x = 68,862.36 × 29,748
  4. Step 4: Simplify right side
    49,901.52x = 2,048,517,485.28
  5. Step 5: Solve for x
    x = 2,048,517,485.28/49,901.52
  6. Step 6: Final answer
    x = 41,051.20

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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.