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Finding the Fourth Proportional to 101,176.50, 151,764.51 and 34,617.30

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Solution

The fourth proportional to 101,176.50, 151,764.51 and 34,617.30 is: 51,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176.50 : 151,764.51 = 34,617.30 : x
  2. Step 2: Convert to fraction form
    101,176.50/151,764.51 = 34,617.30/x
  3. Step 3: Cross multiply
    101,176.50x = 151,764.51 × 34,617.30
  4. Step 4: Simplify right side
    101,176.50x = 5,253,677,572.02
  5. Step 5: Solve for x
    x = 5,253,677,572.02/101,176.50
  6. Step 6: Final answer
    x = 51,925.87

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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.