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Finding the Fourth Proportional to 38,697.24, 53,424.90 and 29,727.12

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Solution

The fourth proportional to 38,697.24, 53,424.90 and 29,727.12 is: 41,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,697.24 : 53,424.90 = 29,727.12 : x
  2. Step 2: Convert to fraction form
    38,697.24/53,424.90 = 29,727.12/x
  3. Step 3: Cross multiply
    38,697.24x = 53,424.90 × 29,727.12
  4. Step 4: Simplify right side
    38,697.24x = 1,588,168,413.29
  5. Step 5: Solve for x
    x = 1,588,168,413.29/38,697.24
  6. Step 6: Final answer
    x = 41,040.87

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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.