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Finding the Fourth Proportional to 38,154.92, 52,670.24 and 35,763.80

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Solution

The fourth proportional to 38,154.92, 52,670.24 and 35,763.80 is: 49,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.92 : 52,670.24 = 35,763.80 : x
  2. Step 2: Convert to fraction form
    38,154.92/52,670.24 = 35,763.80/x
  3. Step 3: Cross multiply
    38,154.92x = 52,670.24 × 35,763.80
  4. Step 4: Simplify right side
    38,154.92x = 1,883,687,929.31
  5. Step 5: Solve for x
    x = 1,883,687,929.31/38,154.92
  6. Step 6: Final answer
    x = 49,369.46

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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.