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Finding the Fourth Proportional to 83,044.10, 124,490.55 and 30,440.90

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Solution

The fourth proportional to 83,044.10, 124,490.55 and 30,440.90 is: 45,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.10 : 124,490.55 = 30,440.90 : x
  2. Step 2: Convert to fraction form
    83,044.10/124,490.55 = 30,440.90/x
  3. Step 3: Cross multiply
    83,044.10x = 124,490.55 × 30,440.90
  4. Step 4: Simplify right side
    83,044.10x = 3,789,604,383.50
  5. Step 5: Solve for x
    x = 3,789,604,383.50/83,044.10
  6. Step 6: Final answer
    x = 45,633.64

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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.