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Finding the Fourth Proportional to 103,005.68, 154,409.88 and 32,839.52

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Solution

The fourth proportional to 103,005.68, 154,409.88 and 32,839.52 is: 49,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,005.68 : 154,409.88 = 32,839.52 : x
  2. Step 2: Convert to fraction form
    103,005.68/154,409.88 = 32,839.52/x
  3. Step 3: Cross multiply
    103,005.68x = 154,409.88 × 32,839.52
  4. Step 4: Simplify right side
    103,005.68x = 5,070,746,342.46
  5. Step 5: Solve for x
    x = 5,070,746,342.46/103,005.68
  6. Step 6: Final answer
    x = 49,227.83

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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.