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Finding the Fourth Proportional to 83,460.90, 125,218.11 and 24,300.12

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Solution

The fourth proportional to 83,460.90, 125,218.11 and 24,300.12 is: 36,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.90 : 125,218.11 = 24,300.12 : x
  2. Step 2: Convert to fraction form
    83,460.90/125,218.11 = 24,300.12/x
  3. Step 3: Cross multiply
    83,460.90x = 125,218.11 × 24,300.12
  4. Step 4: Simplify right side
    83,460.90x = 3,042,815,099.17
  5. Step 5: Solve for x
    x = 3,042,815,099.17/83,460.90
  6. Step 6: Final answer
    x = 36,457.97

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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.