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Finding the Fourth Proportional to 82,697.74, 124,013.22 and 32,070.11

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Solution

The fourth proportional to 82,697.74, 124,013.22 and 32,070.11 is: 48,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,697.74 : 124,013.22 = 32,070.11 : x
  2. Step 2: Convert to fraction form
    82,697.74/124,013.22 = 32,070.11/x
  3. Step 3: Cross multiply
    82,697.74x = 124,013.22 × 32,070.11
  4. Step 4: Simplify right side
    82,697.74x = 3,977,117,606.85
  5. Step 5: Solve for x
    x = 3,977,117,606.85/82,697.74
  6. Step 6: Final answer
    x = 48,092.22

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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.