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Finding the Fourth Proportional to 71,247.66, 106,647.93 and 47,508.54

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Solution

The fourth proportional to 71,247.66, 106,647.93 and 47,508.54 is: 71,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,247.66 : 106,647.93 = 47,508.54 : x
  2. Step 2: Convert to fraction form
    71,247.66/106,647.93 = 47,508.54/x
  3. Step 3: Cross multiply
    71,247.66x = 106,647.93 × 47,508.54
  4. Step 4: Simplify right side
    71,247.66x = 5,066,687,448.32
  5. Step 5: Solve for x
    x = 5,066,687,448.32/71,247.66
  6. Step 6: Final answer
    x = 71,113.74

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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.