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Finding the Fourth Proportional to 65,544.72, 98,307.36 and 23,982

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Solution

The fourth proportional to 65,544.72, 98,307.36 and 23,982 is: 35,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,544.72 : 98,307.36 = 23,982 : x
  2. Step 2: Convert to fraction form
    65,544.72/98,307.36 = 23,982/x
  3. Step 3: Cross multiply
    65,544.72x = 98,307.36 × 23,982
  4. Step 4: Simplify right side
    65,544.72x = 2,357,607,107.52
  5. Step 5: Solve for x
    x = 2,357,607,107.52/65,544.72
  6. Step 6: Final answer
    x = 35,969.44

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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.