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Finding the Fourth Proportional to 83,993.60, 126,008.16 and 27,830.52

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Solution

The fourth proportional to 83,993.60, 126,008.16 and 27,830.52 is: 41,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,993.60 : 126,008.16 = 27,830.52 : x
  2. Step 2: Convert to fraction form
    83,993.60/126,008.16 = 27,830.52/x
  3. Step 3: Cross multiply
    83,993.60x = 126,008.16 × 27,830.52
  4. Step 4: Simplify right side
    83,993.60x = 3,506,872,617.04
  5. Step 5: Solve for x
    x = 3,506,872,617.04/83,993.60
  6. Step 6: Final answer
    x = 41,751.66

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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.