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Finding the Fourth Proportional to 31,821.66, 43,909.02 and 19,071.90

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Solution

The fourth proportional to 31,821.66, 43,909.02 and 19,071.90 is: 26,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.66 : 43,909.02 = 19,071.90 : x
  2. Step 2: Convert to fraction form
    31,821.66/43,909.02 = 19,071.90/x
  3. Step 3: Cross multiply
    31,821.66x = 43,909.02 × 19,071.90
  4. Step 4: Simplify right side
    31,821.66x = 837,428,438.54
  5. Step 5: Solve for x
    x = 837,428,438.54/31,821.66
  6. Step 6: Final answer
    x = 26,316.30

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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.