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Finding the Fourth Proportional to 96,544, 144,684.48 and 49,697.92

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Solution

The fourth proportional to 96,544, 144,684.48 and 49,697.92 is: 74,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,544 : 144,684.48 = 49,697.92 : x
  2. Step 2: Convert to fraction form
    96,544/144,684.48 = 49,697.92/x
  3. Step 3: Cross multiply
    96,544x = 144,684.48 × 49,697.92
  4. Step 4: Simplify right side
    96,544x = 7,190,517,712.28
  5. Step 5: Solve for x
    x = 7,190,517,712.28/96,544
  6. Step 6: Final answer
    x = 74,479.18

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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.