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Finding the Fourth Proportional to 101,697.96, 152,575.50 and 37,655.14

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Solution

The fourth proportional to 101,697.96, 152,575.50 and 37,655.14 is: 56,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,697.96 : 152,575.50 = 37,655.14 : x
  2. Step 2: Convert to fraction form
    101,697.96/152,575.50 = 37,655.14/x
  3. Step 3: Cross multiply
    101,697.96x = 152,575.50 × 37,655.14
  4. Step 4: Simplify right side
    101,697.96x = 5,745,251,438.48
  5. Step 5: Solve for x
    x = 5,745,251,438.48/101,697.96
  6. Step 6: Final answer
    x = 56,493.28

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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.