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Finding the Fourth Proportional to 52,456.41, 78,717.42 and 21,291.66

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Solution

The fourth proportional to 52,456.41, 78,717.42 and 21,291.66 is: 31,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,456.41 : 78,717.42 = 21,291.66 : x
  2. Step 2: Convert to fraction form
    52,456.41/78,717.42 = 21,291.66/x
  3. Step 3: Cross multiply
    52,456.41x = 78,717.42 × 21,291.66
  4. Step 4: Simplify right side
    52,456.41x = 1,676,024,542.72
  5. Step 5: Solve for x
    x = 1,676,024,542.72/52,456.41
  6. Step 6: Final answer
    x = 31,950.81

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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.