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Finding the Fourth Proportional to 32,051.29, 48,076.97 and 8,358.82

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Solution

The fourth proportional to 32,051.29, 48,076.97 and 8,358.82 is: 12,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.29 : 48,076.97 = 8,358.82 : x
  2. Step 2: Convert to fraction form
    32,051.29/48,076.97 = 8,358.82/x
  3. Step 3: Cross multiply
    32,051.29x = 48,076.97 × 8,358.82
  4. Step 4: Simplify right side
    32,051.29x = 401,866,738.38
  5. Step 5: Solve for x
    x = 401,866,738.38/32,051.29
  6. Step 6: Final answer
    x = 12,538.24

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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.