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Finding the Fourth Proportional to 30,331.86, 41,858.00 and 16,902.82

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Solution

The fourth proportional to 30,331.86, 41,858.00 and 16,902.82 is: 23,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.86 : 41,858.00 = 16,902.82 : x
  2. Step 2: Convert to fraction form
    30,331.86/41,858.00 = 16,902.82/x
  3. Step 3: Cross multiply
    30,331.86x = 41,858.00 × 16,902.82
  4. Step 4: Simplify right side
    30,331.86x = 707,518,177.17
  5. Step 5: Solve for x
    x = 707,518,177.17/30,331.86
  6. Step 6: Final answer
    x = 23,325.91

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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.