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Finding the Fourth Proportional to 100,856.76, 151,301.56 and 29,786.59

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Solution

The fourth proportional to 100,856.76, 151,301.56 and 29,786.59 is: 44,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856.76 : 151,301.56 = 29,786.59 : x
  2. Step 2: Convert to fraction form
    100,856.76/151,301.56 = 29,786.59/x
  3. Step 3: Cross multiply
    100,856.76x = 151,301.56 × 29,786.59
  4. Step 4: Simplify right side
    100,856.76x = 4,506,757,534.08
  5. Step 5: Solve for x
    x = 4,506,757,534.08/100,856.76
  6. Step 6: Final answer
    x = 44,684.73

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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.