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Finding the Fourth Proportional to 32,410.80, 48,614.40 and 10,223.76

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Solution

The fourth proportional to 32,410.80, 48,614.40 and 10,223.76 is: 15,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.80 : 48,614.40 = 10,223.76 : x
  2. Step 2: Convert to fraction form
    32,410.80/48,614.40 = 10,223.76/x
  3. Step 3: Cross multiply
    32,410.80x = 48,614.40 × 10,223.76
  4. Step 4: Simplify right side
    32,410.80x = 497,021,958.14
  5. Step 5: Solve for x
    x = 497,021,958.14/32,410.80
  6. Step 6: Final answer
    x = 15,335.07

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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.