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Finding the Fourth Proportional to 101,586.62, 152,420.04 and 31,471.40

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Solution

The fourth proportional to 101,586.62, 152,420.04 and 31,471.40 is: 47,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586.62 : 152,420.04 = 31,471.40 : x
  2. Step 2: Convert to fraction form
    101,586.62/152,420.04 = 31,471.40/x
  3. Step 3: Cross multiply
    101,586.62x = 152,420.04 × 31,471.40
  4. Step 4: Simplify right side
    101,586.62x = 4,796,872,046.86
  5. Step 5: Solve for x
    x = 4,796,872,046.86/101,586.62
  6. Step 6: Final answer
    x = 47,219.53

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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.