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Finding the Fourth Proportional to 32,140.80, 48,243.60 and 15,514.20

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Solution

The fourth proportional to 32,140.80, 48,243.60 and 15,514.20 is: 23,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.80 : 48,243.60 = 15,514.20 : x
  2. Step 2: Convert to fraction form
    32,140.80/48,243.60 = 15,514.20/x
  3. Step 3: Cross multiply
    32,140.80x = 48,243.60 × 15,514.20
  4. Step 4: Simplify right side
    32,140.80x = 748,460,859.12
  5. Step 5: Solve for x
    x = 748,460,859.12/32,140.80
  6. Step 6: Final answer
    x = 23,286.94

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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.