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Finding the Fourth Proportional to 82,454.88, 113,788.08 and 44,732.64

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Solution

The fourth proportional to 82,454.88, 113,788.08 and 44,732.64 is: 61,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.88 : 113,788.08 = 44,732.64 : x
  2. Step 2: Convert to fraction form
    82,454.88/113,788.08 = 44,732.64/x
  3. Step 3: Cross multiply
    82,454.88x = 113,788.08 × 44,732.64
  4. Step 4: Simplify right side
    82,454.88x = 5,090,041,218.93
  5. Step 5: Solve for x
    x = 5,090,041,218.93/82,454.88
  6. Step 6: Final answer
    x = 61,731.23

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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.