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Finding the Fourth Proportional to 65,228.22, 97,870.19 and 27,805.92

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Solution

The fourth proportional to 65,228.22, 97,870.19 and 27,805.92 is: 41,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.22 : 97,870.19 = 27,805.92 : x
  2. Step 2: Convert to fraction form
    65,228.22/97,870.19 = 27,805.92/x
  3. Step 3: Cross multiply
    65,228.22x = 97,870.19 × 27,805.92
  4. Step 4: Simplify right side
    65,228.22x = 2,721,370,619.47
  5. Step 5: Solve for x
    x = 2,721,370,619.47/65,228.22
  6. Step 6: Final answer
    x = 41,720.75

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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.