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Finding the Fourth Proportional to 70,809.50, 97,719.16 and 38,546.22

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Solution

The fourth proportional to 70,809.50, 97,719.16 and 38,546.22 is: 53,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.50 : 97,719.16 = 38,546.22 : x
  2. Step 2: Convert to fraction form
    70,809.50/97,719.16 = 38,546.22/x
  3. Step 3: Cross multiply
    70,809.50x = 97,719.16 × 38,546.22
  4. Step 4: Simplify right side
    70,809.50x = 3,766,704,057.46
  5. Step 5: Solve for x
    x = 3,766,704,057.46/70,809.50
  6. Step 6: Final answer
    x = 53,194.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.