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Finding the Fourth Proportional to 41,352, 62,028 and 13,652.16

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Solution

The fourth proportional to 41,352, 62,028 and 13,652.16 is: 20,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,352 : 62,028 = 13,652.16 : x
  2. Step 2: Convert to fraction form
    41,352/62,028 = 13,652.16/x
  3. Step 3: Cross multiply
    41,352x = 62,028 × 13,652.16
  4. Step 4: Simplify right side
    41,352x = 846,816,180.48
  5. Step 5: Solve for x
    x = 846,816,180.48/41,352
  6. Step 6: Final answer
    x = 20,478.24

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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.