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Finding the Fourth Proportional to 32,027.18, 48,004.29 and 20,024.87

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Solution

The fourth proportional to 32,027.18, 48,004.29 and 20,024.87 is: 30,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.18 : 48,004.29 = 20,024.87 : x
  2. Step 2: Convert to fraction form
    32,027.18/48,004.29 = 20,024.87/x
  3. Step 3: Cross multiply
    32,027.18x = 48,004.29 × 20,024.87
  4. Step 4: Simplify right side
    32,027.18x = 961,279,426.67
  5. Step 5: Solve for x
    x = 961,279,426.67/32,027.18
  6. Step 6: Final answer
    x = 30,014.49

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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.