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Finding the Fourth Proportional to 65,242.89, 97,857.72 and 17,862.21

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Solution

The fourth proportional to 65,242.89, 97,857.72 and 17,862.21 is: 26,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.89 : 97,857.72 = 17,862.21 : x
  2. Step 2: Convert to fraction form
    65,242.89/97,857.72 = 17,862.21/x
  3. Step 3: Cross multiply
    65,242.89x = 97,857.72 × 17,862.21
  4. Step 4: Simplify right side
    65,242.89x = 1,747,955,144.76
  5. Step 5: Solve for x
    x = 1,747,955,144.76/65,242.89
  6. Step 6: Final answer
    x = 26,791.50

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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.