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Finding the Fourth Proportional to 83,182.82, 114,792.26 and 47,372.85

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Solution

The fourth proportional to 83,182.82, 114,792.26 and 47,372.85 is: 65,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,182.82 : 114,792.26 = 47,372.85 : x
  2. Step 2: Convert to fraction form
    83,182.82/114,792.26 = 47,372.85/x
  3. Step 3: Cross multiply
    83,182.82x = 114,792.26 × 47,372.85
  4. Step 4: Simplify right side
    83,182.82x = 5,438,036,277.28
  5. Step 5: Solve for x
    x = 5,438,036,277.28/83,182.82
  6. Step 6: Final answer
    x = 65,374.52

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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.