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Finding the Fourth Proportional to 65,822.92, 98,715.52 and 21,453.55

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Solution

The fourth proportional to 65,822.92, 98,715.52 and 21,453.55 is: 32,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822.92 : 98,715.52 = 21,453.55 : x
  2. Step 2: Convert to fraction form
    65,822.92/98,715.52 = 21,453.55/x
  3. Step 3: Cross multiply
    65,822.92x = 98,715.52 × 21,453.55
  4. Step 4: Simplify right side
    65,822.92x = 2,117,798,344.10
  5. Step 5: Solve for x
    x = 2,117,798,344.10/65,822.92
  6. Step 6: Final answer
    x = 32,174.18

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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.