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Finding the Fourth Proportional to 83,209.57, 114,801.15 and 47,374.21

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Solution

The fourth proportional to 83,209.57, 114,801.15 and 47,374.21 is: 65,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.57 : 114,801.15 = 47,374.21 : x
  2. Step 2: Convert to fraction form
    83,209.57/114,801.15 = 47,374.21/x
  3. Step 3: Cross multiply
    83,209.57x = 114,801.15 × 47,374.21
  4. Step 4: Simplify right side
    83,209.57x = 5,438,613,501.34
  5. Step 5: Solve for x
    x = 5,438,613,501.34/83,209.57
  6. Step 6: Final answer
    x = 65,360.43

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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.