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Finding the Fourth Proportional to 83,546.96, 115,296.60 and 45,821.12

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Solution

The fourth proportional to 83,546.96, 115,296.60 and 45,821.12 is: 63,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546.96 : 115,296.60 = 45,821.12 : x
  2. Step 2: Convert to fraction form
    83,546.96/115,296.60 = 45,821.12/x
  3. Step 3: Cross multiply
    83,546.96x = 115,296.60 × 45,821.12
  4. Step 4: Simplify right side
    83,546.96x = 5,283,019,344.19
  5. Step 5: Solve for x
    x = 5,283,019,344.19/83,546.96
  6. Step 6: Final answer
    x = 63,234.13

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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.