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Finding the Fourth Proportional to 98,625, 136,102.50 and 53,913

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Solution

The fourth proportional to 98,625, 136,102.50 and 53,913 is: 74,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,625 : 136,102.50 = 53,913 : x
  2. Step 2: Convert to fraction form
    98,625/136,102.50 = 53,913/x
  3. Step 3: Cross multiply
    98,625x = 136,102.50 × 53,913
  4. Step 4: Simplify right side
    98,625x = 7,337,694,082.50
  5. Step 5: Solve for x
    x = 7,337,694,082.50/98,625
  6. Step 6: Final answer
    x = 74,399.94

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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.