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Finding the Fourth Proportional to 82,306.13, 113,582.48 and 44,580.38

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Solution

The fourth proportional to 82,306.13, 113,582.48 and 44,580.38 is: 61,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,306.13 : 113,582.48 = 44,580.38 : x
  2. Step 2: Convert to fraction form
    82,306.13/113,582.48 = 44,580.38/x
  3. Step 3: Cross multiply
    82,306.13x = 113,582.48 × 44,580.38
  4. Step 4: Simplify right side
    82,306.13x = 5,063,549,328.93
  5. Step 5: Solve for x
    x = 5,063,549,328.93/82,306.13
  6. Step 6: Final answer
    x = 61,520.93

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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.