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Finding the Fourth Proportional to 32,734.69, 49,101.98 and 9,042.17

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Solution

The fourth proportional to 32,734.69, 49,101.98 and 9,042.17 is: 13,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,734.69 : 49,101.98 = 9,042.17 : x
  2. Step 2: Convert to fraction form
    32,734.69/49,101.98 = 9,042.17/x
  3. Step 3: Cross multiply
    32,734.69x = 49,101.98 × 9,042.17
  4. Step 4: Simplify right side
    32,734.69x = 443,988,450.50
  5. Step 5: Solve for x
    x = 443,988,450.50/32,734.69
  6. Step 6: Final answer
    x = 13,563.24

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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.