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Finding the Fourth Proportional to 32,007.20, 48,009.20 and 16,426.40

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Solution

The fourth proportional to 32,007.20, 48,009.20 and 16,426.40 is: 24,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.20 : 48,009.20 = 16,426.40 : x
  2. Step 2: Convert to fraction form
    32,007.20/48,009.20 = 16,426.40/x
  3. Step 3: Cross multiply
    32,007.20x = 48,009.20 × 16,426.40
  4. Step 4: Simplify right side
    32,007.20x = 788,618,322.88
  5. Step 5: Solve for x
    x = 788,618,322.88/32,007.20
  6. Step 6: Final answer
    x = 24,638.78

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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.