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Finding the Fourth Proportional to 65,413, 98,121.91 and 23,296.17

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Solution

The fourth proportional to 65,413, 98,121.91 and 23,296.17 is: 34,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413 : 98,121.91 = 23,296.17 : x
  2. Step 2: Convert to fraction form
    65,413/98,121.91 = 23,296.17/x
  3. Step 3: Cross multiply
    65,413x = 98,121.91 × 23,296.17
  4. Step 4: Simplify right side
    65,413x = 2,285,864,696.08
  5. Step 5: Solve for x
    x = 2,285,864,696.08/65,413
  6. Step 6: Final answer
    x = 34,945.11

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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.