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Finding the Fourth Proportional to 96,223.38, 132,788.23 and 53,781.91

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Solution

The fourth proportional to 96,223.38, 132,788.23 and 53,781.91 is: 74,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,223.38 : 132,788.23 = 53,781.91 : x
  2. Step 2: Convert to fraction form
    96,223.38/132,788.23 = 53,781.91/x
  3. Step 3: Cross multiply
    96,223.38x = 132,788.23 × 53,781.91
  4. Step 4: Simplify right side
    96,223.38x = 7,141,604,168.49
  5. Step 5: Solve for x
    x = 7,141,604,168.49/96,223.38
  6. Step 6: Final answer
    x = 74,219.01

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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.