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Finding the Fourth Proportional to 82,217.90, 123,456.45 and 47,225.90

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Solution

The fourth proportional to 82,217.90, 123,456.45 and 47,225.90 is: 70,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.90 : 123,456.45 = 47,225.90 : x
  2. Step 2: Convert to fraction form
    82,217.90/123,456.45 = 47,225.90/x
  3. Step 3: Cross multiply
    82,217.90x = 123,456.45 × 47,225.90
  4. Step 4: Simplify right side
    82,217.90x = 5,830,341,962.06
  5. Step 5: Solve for x
    x = 5,830,341,962.06/82,217.90
  6. Step 6: Final answer
    x = 70,913.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.