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Finding the Fourth Proportional to 101,366.60, 152,082.30 and 34,849.40

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Solution

The fourth proportional to 101,366.60, 152,082.30 and 34,849.40 is: 52,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,366.60 : 152,082.30 = 34,849.40 : x
  2. Step 2: Convert to fraction form
    101,366.60/152,082.30 = 34,849.40/x
  3. Step 3: Cross multiply
    101,366.60x = 152,082.30 × 34,849.40
  4. Step 4: Simplify right side
    101,366.60x = 5,299,976,905.62
  5. Step 5: Solve for x
    x = 5,299,976,905.62/101,366.60
  6. Step 6: Final answer
    x = 52,285.24

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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.