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Finding the Fourth Proportional to 38,006.32, 57,009.60 and 22,413

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Solution

The fourth proportional to 38,006.32, 57,009.60 and 22,413 is: 33,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.32 : 57,009.60 = 22,413 : x
  2. Step 2: Convert to fraction form
    38,006.32/57,009.60 = 22,413/x
  3. Step 3: Cross multiply
    38,006.32x = 57,009.60 × 22,413
  4. Step 4: Simplify right side
    38,006.32x = 1,277,756,164.80
  5. Step 5: Solve for x
    x = 1,277,756,164.80/38,006.32
  6. Step 6: Final answer
    x = 33,619.57

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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.