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Finding the Fourth Proportional to 82,013.49, 122,970.96 and 32,034.87

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Solution

The fourth proportional to 82,013.49, 122,970.96 and 32,034.87 is: 48,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.49 : 122,970.96 = 32,034.87 : x
  2. Step 2: Convert to fraction form
    82,013.49/122,970.96 = 32,034.87/x
  3. Step 3: Cross multiply
    82,013.49x = 122,970.96 × 32,034.87
  4. Step 4: Simplify right side
    82,013.49x = 3,939,358,717.38
  5. Step 5: Solve for x
    x = 3,939,358,717.38/82,013.49
  6. Step 6: Final answer
    x = 48,033.06

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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.