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Finding the Fourth Proportional to 38,238.69, 57,293.31 and 23,416.65

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Solution

The fourth proportional to 38,238.69, 57,293.31 and 23,416.65 is: 35,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238.69 : 57,293.31 = 23,416.65 : x
  2. Step 2: Convert to fraction form
    38,238.69/57,293.31 = 23,416.65/x
  3. Step 3: Cross multiply
    38,238.69x = 57,293.31 × 23,416.65
  4. Step 4: Simplify right side
    38,238.69x = 1,341,617,387.61
  5. Step 5: Solve for x
    x = 1,341,617,387.61/38,238.69
  6. Step 6: Final answer
    x = 35,085.34

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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.