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Finding the Fourth Proportional to 68,394.69, 102,542.88 and 32,351.16

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Solution

The fourth proportional to 68,394.69, 102,542.88 and 32,351.16 is: 48,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,394.69 : 102,542.88 = 32,351.16 : x
  2. Step 2: Convert to fraction form
    68,394.69/102,542.88 = 32,351.16/x
  3. Step 3: Cross multiply
    68,394.69x = 102,542.88 × 32,351.16
  4. Step 4: Simplify right side
    68,394.69x = 3,317,381,117.74
  5. Step 5: Solve for x
    x = 3,317,381,117.74/68,394.69
  6. Step 6: Final answer
    x = 48,503.49

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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.