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Finding the Fourth Proportional to 47,475.67, 71,113.04 and 30,786.13

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Solution

The fourth proportional to 47,475.67, 71,113.04 and 30,786.13 is: 46,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475.67 : 71,113.04 = 30,786.13 : x
  2. Step 2: Convert to fraction form
    47,475.67/71,113.04 = 30,786.13/x
  3. Step 3: Cross multiply
    47,475.67x = 71,113.04 × 30,786.13
  4. Step 4: Simplify right side
    47,475.67x = 2,189,294,944.53
  5. Step 5: Solve for x
    x = 2,189,294,944.53/47,475.67
  6. Step 6: Final answer
    x = 46,114.04

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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.