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Finding the Fourth Proportional to 82,024.80, 122,969.70 and 37,049.10

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Solution

The fourth proportional to 82,024.80, 122,969.70 and 37,049.10 is: 55,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024.80 : 122,969.70 = 37,049.10 : x
  2. Step 2: Convert to fraction form
    82,024.80/122,969.70 = 37,049.10/x
  3. Step 3: Cross multiply
    82,024.80x = 122,969.70 × 37,049.10
  4. Step 4: Simplify right side
    82,024.80x = 4,555,916,712.27
  5. Step 5: Solve for x
    x = 4,555,916,712.27/82,024.80
  6. Step 6: Final answer
    x = 55,543.16

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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.