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Finding the Fourth Proportional to 65,224.76, 97,837.56 and 17,838.80

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Solution

The fourth proportional to 65,224.76, 97,837.56 and 17,838.80 is: 26,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224.76 : 97,837.56 = 17,838.80 : x
  2. Step 2: Convert to fraction form
    65,224.76/97,837.56 = 17,838.80/x
  3. Step 3: Cross multiply
    65,224.76x = 97,837.56 × 17,838.80
  4. Step 4: Simplify right side
    65,224.76x = 1,745,304,665.33
  5. Step 5: Solve for x
    x = 1,745,304,665.33/65,224.76
  6. Step 6: Final answer
    x = 26,758.31

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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.