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Finding the Fourth Proportional to 83,048.58, 124,498.80 and 30,445.80

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Solution

The fourth proportional to 83,048.58, 124,498.80 and 30,445.80 is: 45,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,048.58 : 124,498.80 = 30,445.80 : x
  2. Step 2: Convert to fraction form
    83,048.58/124,498.80 = 30,445.80/x
  3. Step 3: Cross multiply
    83,048.58x = 124,498.80 × 30,445.80
  4. Step 4: Simplify right side
    83,048.58x = 3,790,465,565.04
  5. Step 5: Solve for x
    x = 3,790,465,565.04/83,048.58
  6. Step 6: Final answer
    x = 45,641.55

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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.