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Finding the Fourth Proportional to 82,384.56, 123,576.84 and 29,792.88

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Solution

The fourth proportional to 82,384.56, 123,576.84 and 29,792.88 is: 44,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,384.56 : 123,576.84 = 29,792.88 : x
  2. Step 2: Convert to fraction form
    82,384.56/123,576.84 = 29,792.88/x
  3. Step 3: Cross multiply
    82,384.56x = 123,576.84 × 29,792.88
  4. Step 4: Simplify right side
    82,384.56x = 3,681,709,964.90
  5. Step 5: Solve for x
    x = 3,681,709,964.90/82,384.56
  6. Step 6: Final answer
    x = 44,689.32

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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.