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Finding the Fourth Proportional to 82,305.88, 113,582.12 and 44,580.14

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Solution

The fourth proportional to 82,305.88, 113,582.12 and 44,580.14 is: 61,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,305.88 : 113,582.12 = 44,580.14 : x
  2. Step 2: Convert to fraction form
    82,305.88/113,582.12 = 44,580.14/x
  3. Step 3: Cross multiply
    82,305.88x = 113,582.12 × 44,580.14
  4. Step 4: Simplify right side
    82,305.88x = 5,063,506,811.10
  5. Step 5: Solve for x
    x = 5,063,506,811.10/82,305.88
  6. Step 6: Final answer
    x = 61,520.60

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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.