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Finding the Fourth Proportional to 24,078.43, 36,123.78 and 10,033.84

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Solution

The fourth proportional to 24,078.43, 36,123.78 and 10,033.84 is: 15,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.43 : 36,123.78 = 10,033.84 : x
  2. Step 2: Convert to fraction form
    24,078.43/36,123.78 = 10,033.84/x
  3. Step 3: Cross multiply
    24,078.43x = 36,123.78 × 10,033.84
  4. Step 4: Simplify right side
    24,078.43x = 362,460,048.10
  5. Step 5: Solve for x
    x = 362,460,048.10/24,078.43
  6. Step 6: Final answer
    x = 15,053.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.