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Finding the Fourth Proportional to 83,542.88, 115,278.55 and 47,735.21

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Solution

The fourth proportional to 83,542.88, 115,278.55 and 47,735.21 is: 65,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.88 : 115,278.55 = 47,735.21 : x
  2. Step 2: Convert to fraction form
    83,542.88/115,278.55 = 47,735.21/x
  3. Step 3: Cross multiply
    83,542.88x = 115,278.55 × 47,735.21
  4. Step 4: Simplify right side
    83,542.88x = 5,502,845,792.75
  5. Step 5: Solve for x
    x = 5,502,845,792.75/83,542.88
  6. Step 6: Final answer
    x = 65,868.52

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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.