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Finding the Fourth Proportional to 65,290.80, 97,943.25 and 27,854.82

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Solution

The fourth proportional to 65,290.80, 97,943.25 and 27,854.82 is: 41,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,290.80 : 97,943.25 = 27,854.82 : x
  2. Step 2: Convert to fraction form
    65,290.80/97,943.25 = 27,854.82/x
  3. Step 3: Cross multiply
    65,290.80x = 97,943.25 × 27,854.82
  4. Step 4: Simplify right side
    65,290.80x = 2,728,191,598.97
  5. Step 5: Solve for x
    x = 2,728,191,598.97/65,290.80
  6. Step 6: Final answer
    x = 41,785.24

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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.