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Finding the Fourth Proportional to 52,238.41, 72,089 and 29,882.41

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Solution

The fourth proportional to 52,238.41, 72,089 and 29,882.41 is: 41,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,238.41 : 72,089 = 29,882.41 : x
  2. Step 2: Convert to fraction form
    52,238.41/72,089 = 29,882.41/x
  3. Step 3: Cross multiply
    52,238.41x = 72,089 × 29,882.41
  4. Step 4: Simplify right side
    52,238.41x = 2,154,193,054.49
  5. Step 5: Solve for x
    x = 2,154,193,054.49/52,238.41
  6. Step 6: Final answer
    x = 41,237.72

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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.