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Finding the Fourth Proportional to 83,459.68, 115,171.68 and 45,733.12

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Solution

The fourth proportional to 83,459.68, 115,171.68 and 45,733.12 is: 63,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459.68 : 115,171.68 = 45,733.12 : x
  2. Step 2: Convert to fraction form
    83,459.68/115,171.68 = 45,733.12/x
  3. Step 3: Cross multiply
    83,459.68x = 115,171.68 × 45,733.12
  4. Step 4: Simplify right side
    83,459.68x = 5,267,160,262.04
  5. Step 5: Solve for x
    x = 5,267,160,262.04/83,459.68
  6. Step 6: Final answer
    x = 63,110.24

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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.