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Finding the Fourth Proportional to 82,497.38, 113,760.33 and 48,956.90

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Solution

The fourth proportional to 82,497.38, 113,760.33 and 48,956.90 is: 67,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.38 : 113,760.33 = 48,956.90 : x
  2. Step 2: Convert to fraction form
    82,497.38/113,760.33 = 48,956.90/x
  3. Step 3: Cross multiply
    82,497.38x = 113,760.33 × 48,956.90
  4. Step 4: Simplify right side
    82,497.38x = 5,569,353,099.78
  5. Step 5: Solve for x
    x = 5,569,353,099.78/82,497.38
  6. Step 6: Final answer
    x = 67,509.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.