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Finding the Fourth Proportional to 101,967.76, 152,917.02 and 38,772.64

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Solution

The fourth proportional to 101,967.76, 152,917.02 and 38,772.64 is: 58,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.76 : 152,917.02 = 38,772.64 : x
  2. Step 2: Convert to fraction form
    101,967.76/152,917.02 = 38,772.64/x
  3. Step 3: Cross multiply
    101,967.76x = 152,917.02 × 38,772.64
  4. Step 4: Simplify right side
    101,967.76x = 5,928,996,566.33
  5. Step 5: Solve for x
    x = 5,928,996,566.33/101,967.76
  6. Step 6: Final answer
    x = 58,145.80

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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.