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Finding the Fourth Proportional to 32,228.68, 48,357.42 and 14,462.92

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Solution

The fourth proportional to 32,228.68, 48,357.42 and 14,462.92 is: 21,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228.68 : 48,357.42 = 14,462.92 : x
  2. Step 2: Convert to fraction form
    32,228.68/48,357.42 = 14,462.92/x
  3. Step 3: Cross multiply
    32,228.68x = 48,357.42 × 14,462.92
  4. Step 4: Simplify right side
    32,228.68x = 699,389,496.87
  5. Step 5: Solve for x
    x = 699,389,496.87/32,228.68
  6. Step 6: Final answer
    x = 21,700.84

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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.