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Finding the Fourth Proportional to 82,044.92, 123,020.40 and 48,788.22

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Solution

The fourth proportional to 82,044.92, 123,020.40 and 48,788.22 is: 73,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,044.92 : 123,020.40 = 48,788.22 : x
  2. Step 2: Convert to fraction form
    82,044.92/123,020.40 = 48,788.22/x
  3. Step 3: Cross multiply
    82,044.92x = 123,020.40 × 48,788.22
  4. Step 4: Simplify right side
    82,044.92x = 6,001,946,339.69
  5. Step 5: Solve for x
    x = 6,001,946,339.69/82,044.92
  6. Step 6: Final answer
    x = 73,154.39

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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.