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Finding the Fourth Proportional to 83,010.92, 114,567.90 and 49,023.08

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Solution

The fourth proportional to 83,010.92, 114,567.90 and 49,023.08 is: 67,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.92 : 114,567.90 = 49,023.08 : x
  2. Step 2: Convert to fraction form
    83,010.92/114,567.90 = 49,023.08/x
  3. Step 3: Cross multiply
    83,010.92x = 114,567.90 × 49,023.08
  4. Step 4: Simplify right side
    83,010.92x = 5,616,471,327.13
  5. Step 5: Solve for x
    x = 5,616,471,327.13/83,010.92
  6. Step 6: Final answer
    x = 67,659.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.