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Finding the Fourth Proportional to 101,126.64, 151,765.20 and 38,004.96

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Solution

The fourth proportional to 101,126.64, 151,765.20 and 38,004.96 is: 57,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,126.64 : 151,765.20 = 38,004.96 : x
  2. Step 2: Convert to fraction form
    101,126.64/151,765.20 = 38,004.96/x
  3. Step 3: Cross multiply
    101,126.64x = 151,765.20 × 38,004.96
  4. Step 4: Simplify right side
    101,126.64x = 5,767,830,355.39
  5. Step 5: Solve for x
    x = 5,767,830,355.39/101,126.64
  6. Step 6: Final answer
    x = 57,035.72

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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.