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Finding the Fourth Proportional to 82,957.90, 124,495.17 and 75,026.38

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Solution

The fourth proportional to 82,957.90, 124,495.17 and 75,026.38 is: 112,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.90 : 124,495.17 = 75,026.38 : x
  2. Step 2: Convert to fraction form
    82,957.90/124,495.17 = 75,026.38/x
  3. Step 3: Cross multiply
    82,957.90x = 124,495.17 × 75,026.38
  4. Step 4: Simplify right side
    82,957.90x = 9,340,421,932.58
  5. Step 5: Solve for x
    x = 9,340,421,932.58/82,957.90
  6. Step 6: Final answer
    x = 112,592.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.