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Finding the Fourth Proportional to 102,618.67, 153,951.09 and 36,063.40

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Solution

The fourth proportional to 102,618.67, 153,951.09 and 36,063.40 is: 54,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,618.67 : 153,951.09 = 36,063.40 : x
  2. Step 2: Convert to fraction form
    102,618.67/153,951.09 = 36,063.40/x
  3. Step 3: Cross multiply
    102,618.67x = 153,951.09 × 36,063.40
  4. Step 4: Simplify right side
    102,618.67x = 5,551,999,739.11
  5. Step 5: Solve for x
    x = 5,551,999,739.11/102,618.67
  6. Step 6: Final answer
    x = 54,103.21

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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.