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Finding the Fourth Proportional to 83,062.68, 114,626.64 and 45,336.96

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Solution

The fourth proportional to 83,062.68, 114,626.64 and 45,336.96 is: 62,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,062.68 : 114,626.64 = 45,336.96 : x
  2. Step 2: Convert to fraction form
    83,062.68/114,626.64 = 45,336.96/x
  3. Step 3: Cross multiply
    83,062.68x = 114,626.64 × 45,336.96
  4. Step 4: Simplify right side
    83,062.68x = 5,196,823,392.61
  5. Step 5: Solve for x
    x = 5,196,823,392.61/83,062.68
  6. Step 6: Final answer
    x = 62,565.08

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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.