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Finding the Fourth Proportional to 96,780.99, 145,105.16 and 49,304.19

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Solution

The fourth proportional to 96,780.99, 145,105.16 and 49,304.19 is: 73,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,780.99 : 145,105.16 = 49,304.19 : x
  2. Step 2: Convert to fraction form
    96,780.99/145,105.16 = 49,304.19/x
  3. Step 3: Cross multiply
    96,780.99x = 145,105.16 × 49,304.19
  4. Step 4: Simplify right side
    96,780.99x = 7,154,292,378.62
  5. Step 5: Solve for x
    x = 7,154,292,378.62/96,780.99
  6. Step 6: Final answer
    x = 73,922.50

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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.