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Finding the Fourth Proportional to 32,735.36, 49,105.87 and 9,042.90

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Solution

The fourth proportional to 32,735.36, 49,105.87 and 9,042.90 is: 13,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.36 : 49,105.87 = 9,042.90 : x
  2. Step 2: Convert to fraction form
    32,735.36/49,105.87 = 9,042.90/x
  3. Step 3: Cross multiply
    32,735.36x = 49,105.87 × 9,042.90
  4. Step 4: Simplify right side
    32,735.36x = 444,059,265.07
  5. Step 5: Solve for x
    x = 444,059,265.07/32,735.36
  6. Step 6: Final answer
    x = 13,565.13

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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.