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Finding the Fourth Proportional to 82,641.38, 114,045.50 and 44,915.63

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Solution

The fourth proportional to 82,641.38, 114,045.50 and 44,915.63 is: 61,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,641.38 : 114,045.50 = 44,915.63 : x
  2. Step 2: Convert to fraction form
    82,641.38/114,045.50 = 44,915.63/x
  3. Step 3: Cross multiply
    82,641.38x = 114,045.50 × 44,915.63
  4. Step 4: Simplify right side
    82,641.38x = 5,122,425,023.23
  5. Step 5: Solve for x
    x = 5,122,425,023.23/82,641.38
  6. Step 6: Final answer
    x = 61,983.78

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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.