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Finding the Fourth Proportional to 96,444, 144,744.48 and 49,710.24

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Solution

The fourth proportional to 96,444, 144,744.48 and 49,710.24 is: 74,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,444 : 144,744.48 = 49,710.24 : x
  2. Step 2: Convert to fraction form
    96,444/144,744.48 = 49,710.24/x
  3. Step 3: Cross multiply
    96,444x = 144,744.48 × 49,710.24
  4. Step 4: Simplify right side
    96,444x = 7,195,282,839.48
  5. Step 5: Solve for x
    x = 7,195,282,839.48/96,444
  6. Step 6: Final answer
    x = 74,605.81

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Why These Related Problems?

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