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Finding the Fourth Proportional to 32,445.09, 48,667.55 and 7,821.09

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Solution

The fourth proportional to 32,445.09, 48,667.55 and 7,821.09 is: 11,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.09 : 48,667.55 = 7,821.09 : x
  2. Step 2: Convert to fraction form
    32,445.09/48,667.55 = 7,821.09/x
  3. Step 3: Cross multiply
    32,445.09x = 48,667.55 × 7,821.09
  4. Step 4: Simplify right side
    32,445.09x = 380,633,249.52
  5. Step 5: Solve for x
    x = 380,633,249.52/32,445.09
  6. Step 6: Final answer
    x = 11,731.61

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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.