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Finding the Fourth Proportional to 65,231.03, 97,855.65 and 27,790.80

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Solution

The fourth proportional to 65,231.03, 97,855.65 and 27,790.80 is: 41,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.03 : 97,855.65 = 27,790.80 : x
  2. Step 2: Convert to fraction form
    65,231.03/97,855.65 = 27,790.80/x
  3. Step 3: Cross multiply
    65,231.03x = 97,855.65 × 27,790.80
  4. Step 4: Simplify right side
    65,231.03x = 2,719,486,798.02
  5. Step 5: Solve for x
    x = 2,719,486,798.02/65,231.03
  6. Step 6: Final answer
    x = 41,690.08

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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.