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Finding the Fourth Proportional to 41,509.60, 62,264.40 and 32,178.40

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Solution

The fourth proportional to 41,509.60, 62,264.40 and 32,178.40 is: 48,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.60 : 62,264.40 = 32,178.40 : x
  2. Step 2: Convert to fraction form
    41,509.60/62,264.40 = 32,178.40/x
  3. Step 3: Cross multiply
    41,509.60x = 62,264.40 × 32,178.40
  4. Step 4: Simplify right side
    41,509.60x = 2,003,568,768.96
  5. Step 5: Solve for x
    x = 2,003,568,768.96/41,509.60
  6. Step 6: Final answer
    x = 48,267.60

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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.