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Finding the Fourth Proportional to 31,106.52, 42,927.00 and 17,677.80

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Solution

The fourth proportional to 31,106.52, 42,927.00 and 17,677.80 is: 24,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.52 : 42,927.00 = 17,677.80 : x
  2. Step 2: Convert to fraction form
    31,106.52/42,927.00 = 17,677.80/x
  3. Step 3: Cross multiply
    31,106.52x = 42,927.00 × 17,677.80
  4. Step 4: Simplify right side
    31,106.52x = 758,854,854.31
  5. Step 5: Solve for x
    x = 758,854,854.31/31,106.52
  6. Step 6: Final answer
    x = 24,395.36

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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.