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Finding the Fourth Proportional to 24,678, 37,034.01 and 21,387.78

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Solution

The fourth proportional to 24,678, 37,034.01 and 21,387.78 is: 32,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 37,034.01 = 21,387.78 : x
  2. Step 2: Convert to fraction form
    24,678/37,034.01 = 21,387.78/x
  3. Step 3: Cross multiply
    24,678x = 37,034.01 × 21,387.78
  4. Step 4: Simplify right side
    24,678x = 792,075,258.40
  5. Step 5: Solve for x
    x = 792,075,258.40/24,678
  6. Step 6: Final answer
    x = 32,096.41

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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.