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Finding the Fourth Proportional to 68,302.39, 102,298.86 and 36,657.31

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Solution

The fourth proportional to 68,302.39, 102,298.86 and 36,657.31 is: 54,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,302.39 : 102,298.86 = 36,657.31 : x
  2. Step 2: Convert to fraction form
    68,302.39/102,298.86 = 36,657.31/x
  3. Step 3: Cross multiply
    68,302.39x = 102,298.86 × 36,657.31
  4. Step 4: Simplify right side
    68,302.39x = 3,750,001,023.67
  5. Step 5: Solve for x
    x = 3,750,001,023.67/68,302.39
  6. Step 6: Final answer
    x = 54,902.93

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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.