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Finding the Fourth Proportional to 71,248.66, 106,649.43 and 47,509.54

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Solution

The fourth proportional to 71,248.66, 106,649.43 and 47,509.54 is: 71,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,248.66 : 106,649.43 = 47,509.54 : x
  2. Step 2: Convert to fraction form
    71,248.66/106,649.43 = 47,509.54/x
  3. Step 3: Cross multiply
    71,248.66x = 106,649.43 × 47,509.54
  4. Step 4: Simplify right side
    71,248.66x = 5,066,865,360.56
  5. Step 5: Solve for x
    x = 5,066,865,360.56/71,248.66
  6. Step 6: Final answer
    x = 71,115.24

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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.