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Finding the Fourth Proportional to 75,304.46, 112,974.92 and 22,710.76

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Solution

The fourth proportional to 75,304.46, 112,974.92 and 22,710.76 is: 34,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,304.46 : 112,974.92 = 22,710.76 : x
  2. Step 2: Convert to fraction form
    75,304.46/112,974.92 = 22,710.76/x
  3. Step 3: Cross multiply
    75,304.46x = 112,974.92 × 22,710.76
  4. Step 4: Simplify right side
    75,304.46x = 2,565,746,294.14
  5. Step 5: Solve for x
    x = 2,565,746,294.14/75,304.46
  6. Step 6: Final answer
    x = 34,071.64

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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.