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Finding the Fourth Proportional to 65,842.44, 98,746.03 and 18,454.87

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Solution

The fourth proportional to 65,842.44, 98,746.03 and 18,454.87 is: 27,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.44 : 98,746.03 = 18,454.87 : x
  2. Step 2: Convert to fraction form
    65,842.44/98,746.03 = 18,454.87/x
  3. Step 3: Cross multiply
    65,842.44x = 98,746.03 × 18,454.87
  4. Step 4: Simplify right side
    65,842.44x = 1,822,345,146.67
  5. Step 5: Solve for x
    x = 1,822,345,146.67/65,842.44
  6. Step 6: Final answer
    x = 27,677.36

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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.