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Finding the Fourth Proportional to 65,065.83, 97,613.12 and 27,657.87

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Solution

The fourth proportional to 65,065.83, 97,613.12 and 27,657.87 is: 41,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,065.83 : 97,613.12 = 27,657.87 : x
  2. Step 2: Convert to fraction form
    65,065.83/97,613.12 = 27,657.87/x
  3. Step 3: Cross multiply
    65,065.83x = 97,613.12 × 27,657.87
  4. Step 4: Simplify right side
    65,065.83x = 2,699,770,983.25
  5. Step 5: Solve for x
    x = 2,699,770,983.25/65,065.83
  6. Step 6: Final answer
    x = 41,492.92

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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.