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Finding the Fourth Proportional to 82,443.84, 123,500.88 and 38,009.76

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Solution

The fourth proportional to 82,443.84, 123,500.88 and 38,009.76 is: 56,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,443.84 : 123,500.88 = 38,009.76 : x
  2. Step 2: Convert to fraction form
    82,443.84/123,500.88 = 38,009.76/x
  3. Step 3: Cross multiply
    82,443.84x = 123,500.88 × 38,009.76
  4. Step 4: Simplify right side
    82,443.84x = 4,694,238,808.59
  5. Step 5: Solve for x
    x = 4,694,238,808.59/82,443.84
  6. Step 6: Final answer
    x = 56,938.62

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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.