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Finding the Fourth Proportional to 32,506.78, 48,760.17 and 11,441.86

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Solution

The fourth proportional to 32,506.78, 48,760.17 and 11,441.86 is: 17,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.78 : 48,760.17 = 11,441.86 : x
  2. Step 2: Convert to fraction form
    32,506.78/48,760.17 = 11,441.86/x
  3. Step 3: Cross multiply
    32,506.78x = 48,760.17 × 11,441.86
  4. Step 4: Simplify right side
    32,506.78x = 557,907,038.72
  5. Step 5: Solve for x
    x = 557,907,038.72/32,506.78
  6. Step 6: Final answer
    x = 17,162.79

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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.