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Finding the Fourth Proportional to 72,832, 109,265.28 and 23,584

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Solution

The fourth proportional to 72,832, 109,265.28 and 23,584 is: 35,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832 : 109,265.28 = 23,584 : x
  2. Step 2: Convert to fraction form
    72,832/109,265.28 = 23,584/x
  3. Step 3: Cross multiply
    72,832x = 109,265.28 × 23,584
  4. Step 4: Simplify right side
    72,832x = 2,576,912,363.52
  5. Step 5: Solve for x
    x = 2,576,912,363.52/72,832
  6. Step 6: Final answer
    x = 35,381.60

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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.