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Finding the Fourth Proportional to 32,009.20, 48,012.20 and 16,428.40

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Solution

The fourth proportional to 32,009.20, 48,012.20 and 16,428.40 is: 24,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.20 : 48,012.20 = 16,428.40 : x
  2. Step 2: Convert to fraction form
    32,009.20/48,012.20 = 16,428.40/x
  3. Step 3: Cross multiply
    32,009.20x = 48,012.20 × 16,428.40
  4. Step 4: Simplify right side
    32,009.20x = 788,763,626.48
  5. Step 5: Solve for x
    x = 788,763,626.48/32,009.20
  6. Step 6: Final answer
    x = 24,641.78

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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.