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Finding the Fourth Proportional to 32,800.90, 49,137.92 and 27,472.64

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Solution

The fourth proportional to 32,800.90, 49,137.92 and 27,472.64 is: 41,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.90 : 49,137.92 = 27,472.64 : x
  2. Step 2: Convert to fraction form
    32,800.90/49,137.92 = 27,472.64/x
  3. Step 3: Cross multiply
    32,800.90x = 49,137.92 × 27,472.64
  4. Step 4: Simplify right side
    32,800.90x = 1,349,948,386.51
  5. Step 5: Solve for x
    x = 1,349,948,386.51/32,800.90
  6. Step 6: Final answer
    x = 41,155.83

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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.