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Finding the Fourth Proportional to 23,047.16, 31,794 and 22,152.92

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Solution

The fourth proportional to 23,047.16, 31,794 and 22,152.92 is: 30,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.16 : 31,794 = 22,152.92 : x
  2. Step 2: Convert to fraction form
    23,047.16/31,794 = 22,152.92/x
  3. Step 3: Cross multiply
    23,047.16x = 31,794 × 22,152.92
  4. Step 4: Simplify right side
    23,047.16x = 704,329,938.48
  5. Step 5: Solve for x
    x = 704,329,938.48/23,047.16
  6. Step 6: Final answer
    x = 30,560.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.