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Finding the Fourth Proportional to 83,082.40, 114,655.64 and 45,356.92

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Solution

The fourth proportional to 83,082.40, 114,655.64 and 45,356.92 is: 62,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.40 : 114,655.64 = 45,356.92 : x
  2. Step 2: Convert to fraction form
    83,082.40/114,655.64 = 45,356.92/x
  3. Step 3: Cross multiply
    83,082.40x = 114,655.64 × 45,356.92
  4. Step 4: Simplify right side
    83,082.40x = 5,200,426,691.03
  5. Step 5: Solve for x
    x = 5,200,426,691.03/83,082.40
  6. Step 6: Final answer
    x = 62,593.60

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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.