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Finding the Fourth Proportional to 95,967.80, 144,023.70 and 49,196.60

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Solution

The fourth proportional to 95,967.80, 144,023.70 and 49,196.60 is: 73,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967.80 : 144,023.70 = 49,196.60 : x
  2. Step 2: Convert to fraction form
    95,967.80/144,023.70 = 49,196.60/x
  3. Step 3: Cross multiply
    95,967.80x = 144,023.70 × 49,196.60
  4. Step 4: Simplify right side
    95,967.80x = 7,085,476,359.42
  5. Step 5: Solve for x
    x = 7,085,476,359.42/95,967.80
  6. Step 6: Final answer
    x = 73,831.81

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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.