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Finding the Fourth Proportional to 77,084.46, 115,624.89 and 35,531.46

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Solution

The fourth proportional to 77,084.46, 115,624.89 and 35,531.46 is: 53,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.46 : 115,624.89 = 35,531.46 : x
  2. Step 2: Convert to fraction form
    77,084.46/115,624.89 = 35,531.46/x
  3. Step 3: Cross multiply
    77,084.46x = 115,624.89 × 35,531.46
  4. Step 4: Simplify right side
    77,084.46x = 4,108,321,154.04
  5. Step 5: Solve for x
    x = 4,108,321,154.04/77,084.46
  6. Step 6: Final answer
    x = 53,296.36

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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.