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Finding the Fourth Proportional to 32,154.92, 48,228.54 and 13,692.20

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Solution

The fourth proportional to 32,154.92, 48,228.54 and 13,692.20 is: 20,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.92 : 48,228.54 = 13,692.20 : x
  2. Step 2: Convert to fraction form
    32,154.92/48,228.54 = 13,692.20/x
  3. Step 3: Cross multiply
    32,154.92x = 48,228.54 × 13,692.20
  4. Step 4: Simplify right side
    32,154.92x = 660,354,815.39
  5. Step 5: Solve for x
    x = 660,354,815.39/32,154.92
  6. Step 6: Final answer
    x = 20,536.66

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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.