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Finding the Fourth Proportional to 34,737.16, 47,937.16 and 18,822

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Solution

The fourth proportional to 34,737.16, 47,937.16 and 18,822 is: 25,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.16 : 47,937.16 = 18,822 : x
  2. Step 2: Convert to fraction form
    34,737.16/47,937.16 = 18,822/x
  3. Step 3: Cross multiply
    34,737.16x = 47,937.16 × 18,822
  4. Step 4: Simplify right side
    34,737.16x = 902,273,225.52
  5. Step 5: Solve for x
    x = 902,273,225.52/34,737.16
  6. Step 6: Final answer
    x = 25,974.29

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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.