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Finding the Fourth Proportional to 96,446, 144,747.48 and 49,712.24

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Solution

The fourth proportional to 96,446, 144,747.48 and 49,712.24 is: 74,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,446 : 144,747.48 = 49,712.24 : x
  2. Step 2: Convert to fraction form
    96,446/144,747.48 = 49,712.24/x
  3. Step 3: Cross multiply
    96,446x = 144,747.48 × 49,712.24
  4. Step 4: Simplify right side
    96,446x = 7,195,721,465.16
  5. Step 5: Solve for x
    x = 7,195,721,465.16/96,446
  6. Step 6: Final answer
    x = 74,608.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.