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Finding the Fourth Proportional to 101,162.64, 151,760.40 and 37,987.64

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Solution

The fourth proportional to 101,162.64, 151,760.40 and 37,987.64 is: 56,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,162.64 : 151,760.40 = 37,987.64 : x
  2. Step 2: Convert to fraction form
    101,162.64/151,760.40 = 37,987.64/x
  3. Step 3: Cross multiply
    101,162.64x = 151,760.40 × 37,987.64
  4. Step 4: Simplify right side
    101,162.64x = 5,765,019,441.46
  5. Step 5: Solve for x
    x = 5,765,019,441.46/101,162.64
  6. Step 6: Final answer
    x = 56,987.63

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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.