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Finding the Fourth Proportional to 101,165.76, 151,731.63 and 37,110.69

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Solution

The fourth proportional to 101,165.76, 151,731.63 and 37,110.69 is: 55,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,165.76 : 151,731.63 = 37,110.69 : x
  2. Step 2: Convert to fraction form
    101,165.76/151,731.63 = 37,110.69/x
  3. Step 3: Cross multiply
    101,165.76x = 151,731.63 × 37,110.69
  4. Step 4: Simplify right side
    101,165.76x = 5,630,865,484.12
  5. Step 5: Solve for x
    x = 5,630,865,484.12/101,165.76
  6. Step 6: Final answer
    x = 55,659.80

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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.