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Finding the Fourth Proportional to 65,354.72, 98,012.64 and 23,792

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Solution

The fourth proportional to 65,354.72, 98,012.64 and 23,792 is: 35,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.72 : 98,012.64 = 23,792 : x
  2. Step 2: Convert to fraction form
    65,354.72/98,012.64 = 23,792/x
  3. Step 3: Cross multiply
    65,354.72x = 98,012.64 × 23,792
  4. Step 4: Simplify right side
    65,354.72x = 2,331,916,730.88
  5. Step 5: Solve for x
    x = 2,331,916,730.88/65,354.72
  6. Step 6: Final answer
    x = 35,680.92

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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.