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Finding the Fourth Proportional to 82,062.64, 113,176.65 and 56,609.61

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Solution

The fourth proportional to 82,062.64, 113,176.65 and 56,609.61 is: 78,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062.64 : 113,176.65 = 56,609.61 : x
  2. Step 2: Convert to fraction form
    82,062.64/113,176.65 = 56,609.61/x
  3. Step 3: Cross multiply
    82,062.64x = 113,176.65 × 56,609.61
  4. Step 4: Simplify right side
    82,062.64x = 6,406,886,017.61
  5. Step 5: Solve for x
    x = 6,406,886,017.61/82,062.64
  6. Step 6: Final answer
    x = 78,073.12

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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.