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Finding the Fourth Proportional to 32,051.26, 48,076.92 and 8,358.78

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Solution

The fourth proportional to 32,051.26, 48,076.92 and 8,358.78 is: 12,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.26 : 48,076.92 = 8,358.78 : x
  2. Step 2: Convert to fraction form
    32,051.26/48,076.92 = 8,358.78/x
  3. Step 3: Cross multiply
    32,051.26x = 48,076.92 × 8,358.78
  4. Step 4: Simplify right side
    32,051.26x = 401,864,397.36
  5. Step 5: Solve for x
    x = 401,864,397.36/32,051.26
  6. Step 6: Final answer
    x = 12,538.18

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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.