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Finding the Fourth Proportional to 31,050.52, 42,899.82 and 21,661

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Solution

The fourth proportional to 31,050.52, 42,899.82 and 21,661 is: 29,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050.52 : 42,899.82 = 21,661 : x
  2. Step 2: Convert to fraction form
    31,050.52/42,899.82 = 21,661/x
  3. Step 3: Cross multiply
    31,050.52x = 42,899.82 × 21,661
  4. Step 4: Simplify right side
    31,050.52x = 929,253,001.02
  5. Step 5: Solve for x
    x = 929,253,001.02/31,050.52
  6. Step 6: Final answer
    x = 29,927.13

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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.