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Finding the Fourth Proportional to 98,540.50, 135,985.85 and 53,218.49

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Solution

The fourth proportional to 98,540.50, 135,985.85 and 53,218.49 is: 73,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540.50 : 135,985.85 = 53,218.49 : x
  2. Step 2: Convert to fraction form
    98,540.50/135,985.85 = 53,218.49/x
  3. Step 3: Cross multiply
    98,540.50x = 135,985.85 × 53,218.49
  4. Step 4: Simplify right side
    98,540.50x = 7,236,962,071.38
  5. Step 5: Solve for x
    x = 7,236,962,071.38/98,540.50
  6. Step 6: Final answer
    x = 73,441.50

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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.