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Finding the Fourth Proportional to 83,159.72, 124,739.58 and 20,830.22

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Solution

The fourth proportional to 83,159.72, 124,739.58 and 20,830.22 is: 31,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.72 : 124,739.58 = 20,830.22 : x
  2. Step 2: Convert to fraction form
    83,159.72/124,739.58 = 20,830.22/x
  3. Step 3: Cross multiply
    83,159.72x = 124,739.58 × 20,830.22
  4. Step 4: Simplify right side
    83,159.72x = 2,598,352,894.11
  5. Step 5: Solve for x
    x = 2,598,352,894.11/83,159.72
  6. Step 6: Final answer
    x = 31,245.33

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Similar ratio
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1.5x scale

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.