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Finding the Fourth Proportional to 65,010.96, 97,519.84 and 18,267.44

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Solution

The fourth proportional to 65,010.96, 97,519.84 and 18,267.44 is: 27,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,010.96 : 97,519.84 = 18,267.44 : x
  2. Step 2: Convert to fraction form
    65,010.96/97,519.84 = 18,267.44/x
  3. Step 3: Cross multiply
    65,010.96x = 97,519.84 × 18,267.44
  4. Step 4: Simplify right side
    65,010.96x = 1,781,437,826.01
  5. Step 5: Solve for x
    x = 1,781,437,826.01/65,010.96
  6. Step 6: Final answer
    x = 27,402.12

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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.