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Finding the Fourth Proportional to 100,645.98, 138,894.60 and 55,327.46

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Solution

The fourth proportional to 100,645.98, 138,894.60 and 55,327.46 is: 76,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,645.98 : 138,894.60 = 55,327.46 : x
  2. Step 2: Convert to fraction form
    100,645.98/138,894.60 = 55,327.46/x
  3. Step 3: Cross multiply
    100,645.98x = 138,894.60 × 55,327.46
  4. Step 4: Simplify right side
    100,645.98x = 7,684,684,731.24
  5. Step 5: Solve for x
    x = 7,684,684,731.24/100,645.98
  6. Step 6: Final answer
    x = 76,353.62

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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.