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Finding the Fourth Proportional to 126,559.86, 189,840.21 and 47,652.90

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Solution

The fourth proportional to 126,559.86, 189,840.21 and 47,652.90 is: 71,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,559.86 : 189,840.21 = 47,652.90 : x
  2. Step 2: Convert to fraction form
    126,559.86/189,840.21 = 47,652.90/x
  3. Step 3: Cross multiply
    126,559.86x = 189,840.21 × 47,652.90
  4. Step 4: Simplify right side
    126,559.86x = 9,046,436,543.11
  5. Step 5: Solve for x
    x = 9,046,436,543.11/126,559.86
  6. Step 6: Final answer
    x = 71,479.51

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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.