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Finding the Fourth Proportional to 32,147.76, 48,227.48 and 13,418.48

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Solution

The fourth proportional to 32,147.76, 48,227.48 and 13,418.48 is: 20,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.76 : 48,227.48 = 13,418.48 : x
  2. Step 2: Convert to fraction form
    32,147.76/48,227.48 = 13,418.48/x
  3. Step 3: Cross multiply
    32,147.76x = 48,227.48 × 13,418.48
  4. Step 4: Simplify right side
    32,147.76x = 647,139,475.83
  5. Step 5: Solve for x
    x = 647,139,475.83/32,147.76
  6. Step 6: Final answer
    x = 20,130.16

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1.5x scale

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.