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Finding the Fourth Proportional to 82,447.84, 123,506.88 and 38,013.76

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Solution

The fourth proportional to 82,447.84, 123,506.88 and 38,013.76 is: 56,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,447.84 : 123,506.88 = 38,013.76 : x
  2. Step 2: Convert to fraction form
    82,447.84/123,506.88 = 38,013.76/x
  3. Step 3: Cross multiply
    82,447.84x = 123,506.88 × 38,013.76
  4. Step 4: Simplify right side
    82,447.84x = 4,694,960,894.67
  5. Step 5: Solve for x
    x = 4,694,960,894.67/82,447.84
  6. Step 6: Final answer
    x = 56,944.62

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1.5x scale

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.