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Finding the Fourth Proportional to 32,145.40, 48,200.80 and 9,949.24

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Solution

The fourth proportional to 32,145.40, 48,200.80 and 9,949.24 is: 14,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.40 : 48,200.80 = 9,949.24 : x
  2. Step 2: Convert to fraction form
    32,145.40/48,200.80 = 9,949.24/x
  3. Step 3: Cross multiply
    32,145.40x = 48,200.80 × 9,949.24
  4. Step 4: Simplify right side
    32,145.40x = 479,561,327.39
  5. Step 5: Solve for x
    x = 479,561,327.39/32,145.40
  6. Step 6: Final answer
    x = 14,918.51

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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.