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Finding the Fourth Proportional to 32,445.27, 48,667.91 and 7,821.27

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Solution

The fourth proportional to 32,445.27, 48,667.91 and 7,821.27 is: 11,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.27 : 48,667.91 = 7,821.27 : x
  2. Step 2: Convert to fraction form
    32,445.27/48,667.91 = 7,821.27/x
  3. Step 3: Cross multiply
    32,445.27x = 48,667.91 × 7,821.27
  4. Step 4: Simplify right side
    32,445.27x = 380,644,864.45
  5. Step 5: Solve for x
    x = 380,644,864.45/32,445.27
  6. Step 6: Final answer
    x = 11,731.91

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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.