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Finding the Fourth Proportional to 28,024.68, 38,644.38 and 25,203.24

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Solution

The fourth proportional to 28,024.68, 38,644.38 and 25,203.24 is: 34,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024.68 : 38,644.38 = 25,203.24 : x
  2. Step 2: Convert to fraction form
    28,024.68/38,644.38 = 25,203.24/x
  3. Step 3: Cross multiply
    28,024.68x = 38,644.38 × 25,203.24
  4. Step 4: Simplify right side
    28,024.68x = 973,963,583.79
  5. Step 5: Solve for x
    x = 973,963,583.79/28,024.68
  6. Step 6: Final answer
    x = 34,753.78

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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.