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Finding the Fourth Proportional to 92,731.36, 127,972.56 and 52,449.52

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Solution

The fourth proportional to 92,731.36, 127,972.56 and 52,449.52 is: 72,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,731.36 : 127,972.56 = 52,449.52 : x
  2. Step 2: Convert to fraction form
    92,731.36/127,972.56 = 52,449.52/x
  3. Step 3: Cross multiply
    92,731.36x = 127,972.56 × 52,449.52
  4. Step 4: Simplify right side
    92,731.36x = 6,712,099,345.17
  5. Step 5: Solve for x
    x = 6,712,099,345.17/92,731.36
  6. Step 6: Final answer
    x = 72,382.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.