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Finding the Fourth Proportional to 61,309, 91,963.50 and 17,533

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Solution

The fourth proportional to 61,309, 91,963.50 and 17,533 is: 26,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,309 : 91,963.50 = 17,533 : x
  2. Step 2: Convert to fraction form
    61,309/91,963.50 = 17,533/x
  3. Step 3: Cross multiply
    61,309x = 91,963.50 × 17,533
  4. Step 4: Simplify right side
    61,309x = 1,612,396,045.50
  5. Step 5: Solve for x
    x = 1,612,396,045.50/61,309
  6. Step 6: Final answer
    x = 26,299.50

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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.