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Finding the Fourth Proportional to 38,624.58, 57,922.29 and 17,833.50

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Solution

The fourth proportional to 38,624.58, 57,922.29 and 17,833.50 is: 26,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624.58 : 57,922.29 = 17,833.50 : x
  2. Step 2: Convert to fraction form
    38,624.58/57,922.29 = 17,833.50/x
  3. Step 3: Cross multiply
    38,624.58x = 57,922.29 × 17,833.50
  4. Step 4: Simplify right side
    38,624.58x = 1,032,957,158.72
  5. Step 5: Solve for x
    x = 1,032,957,158.72/38,624.58
  6. Step 6: Final answer
    x = 26,743.52

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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.