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Finding the Fourth Proportional to 83,281.56, 124,904.24 and 26,359.89

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Solution

The fourth proportional to 83,281.56, 124,904.24 and 26,359.89 is: 39,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.56 : 124,904.24 = 26,359.89 : x
  2. Step 2: Convert to fraction form
    83,281.56/124,904.24 = 26,359.89/x
  3. Step 3: Cross multiply
    83,281.56x = 124,904.24 × 26,359.89
  4. Step 4: Simplify right side
    83,281.56x = 3,292,462,026.93
  5. Step 5: Solve for x
    x = 3,292,462,026.93/83,281.56
  6. Step 6: Final answer
    x = 39,534.11

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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.