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Finding the Fourth Proportional to 32,456.28, 48,684.42 and 7,832.28

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Solution

The fourth proportional to 32,456.28, 48,684.42 and 7,832.28 is: 11,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456.28 : 48,684.42 = 7,832.28 : x
  2. Step 2: Convert to fraction form
    32,456.28/48,684.42 = 7,832.28/x
  3. Step 3: Cross multiply
    32,456.28x = 48,684.42 × 7,832.28
  4. Step 4: Simplify right side
    32,456.28x = 381,310,009.08
  5. Step 5: Solve for x
    x = 381,310,009.08/32,456.28
  6. Step 6: Final answer
    x = 11,748.42

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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.