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Finding the Fourth Proportional to 65,251.86, 97,856.73 and 18,492.18

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Solution

The fourth proportional to 65,251.86, 97,856.73 and 18,492.18 is: 27,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.86 : 97,856.73 = 18,492.18 : x
  2. Step 2: Convert to fraction form
    65,251.86/97,856.73 = 18,492.18/x
  3. Step 3: Cross multiply
    65,251.86x = 97,856.73 × 18,492.18
  4. Step 4: Simplify right side
    65,251.86x = 1,809,584,265.37
  5. Step 5: Solve for x
    x = 1,809,584,265.37/65,251.86
  6. Step 6: Final answer
    x = 27,732.30

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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.