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Finding the Fourth Proportional to 82,303.38, 113,578.38 and 44,577.72

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Solution

The fourth proportional to 82,303.38, 113,578.38 and 44,577.72 is: 61,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,303.38 : 113,578.38 = 44,577.72 : x
  2. Step 2: Convert to fraction form
    82,303.38/113,578.38 = 44,577.72/x
  3. Step 3: Cross multiply
    82,303.38x = 113,578.38 × 44,577.72
  4. Step 4: Simplify right side
    82,303.38x = 5,063,065,221.69
  5. Step 5: Solve for x
    x = 5,063,065,221.69/82,303.38
  6. Step 6: Final answer
    x = 61,517.10

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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.