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Finding the Fourth Proportional to 65,667.74, 98,511.33 and 24,111.50

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Solution

The fourth proportional to 65,667.74, 98,511.33 and 24,111.50 is: 36,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,667.74 : 98,511.33 = 24,111.50 : x
  2. Step 2: Convert to fraction form
    65,667.74/98,511.33 = 24,111.50/x
  3. Step 3: Cross multiply
    65,667.74x = 98,511.33 × 24,111.50
  4. Step 4: Simplify right side
    65,667.74x = 2,375,255,933.30
  5. Step 5: Solve for x
    x = 2,375,255,933.30/65,667.74
  6. Step 6: Final answer
    x = 36,170.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.