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Finding the Fourth Proportional to 38,407.52, 52,990.20 and 30,315.62

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Solution

The fourth proportional to 38,407.52, 52,990.20 and 30,315.62 is: 41,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.52 : 52,990.20 = 30,315.62 : x
  2. Step 2: Convert to fraction form
    38,407.52/52,990.20 = 30,315.62/x
  3. Step 3: Cross multiply
    38,407.52x = 52,990.20 × 30,315.62
  4. Step 4: Simplify right side
    38,407.52x = 1,606,430,766.92
  5. Step 5: Solve for x
    x = 1,606,430,766.92/38,407.52
  6. Step 6: Final answer
    x = 41,825.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.