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Finding the Fourth Proportional to 65,497.83, 98,164.60 and 28,013.91

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Solution

The fourth proportional to 65,497.83, 98,164.60 and 28,013.91 is: 41,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.83 : 98,164.60 = 28,013.91 : x
  2. Step 2: Convert to fraction form
    65,497.83/98,164.60 = 28,013.91/x
  3. Step 3: Cross multiply
    65,497.83x = 98,164.60 × 28,013.91
  4. Step 4: Simplify right side
    65,497.83x = 2,749,974,269.59
  5. Step 5: Solve for x
    x = 2,749,974,269.59/65,497.83
  6. Step 6: Final answer
    x = 41,985.73

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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.