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Finding the Fourth Proportional to 91,346.64, 137,020.14 and 35,213.18

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Solution

The fourth proportional to 91,346.64, 137,020.14 and 35,213.18 is: 52,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,346.64 : 137,020.14 = 35,213.18 : x
  2. Step 2: Convert to fraction form
    91,346.64/137,020.14 = 35,213.18/x
  3. Step 3: Cross multiply
    91,346.64x = 137,020.14 × 35,213.18
  4. Step 4: Simplify right side
    91,346.64x = 4,824,914,853.45
  5. Step 5: Solve for x
    x = 4,824,914,853.45/91,346.64
  6. Step 6: Final answer
    x = 52,819.84

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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.