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Finding the Fourth Proportional to 31,071.09, 42,881.09 and 19,141.41

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Solution

The fourth proportional to 31,071.09, 42,881.09 and 19,141.41 is: 26,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.09 : 42,881.09 = 19,141.41 : x
  2. Step 2: Convert to fraction form
    31,071.09/42,881.09 = 19,141.41/x
  3. Step 3: Cross multiply
    31,071.09x = 42,881.09 × 19,141.41
  4. Step 4: Simplify right side
    31,071.09x = 820,804,429.23
  5. Step 5: Solve for x
    x = 820,804,429.23/31,071.09
  6. Step 6: Final answer
    x = 26,416.98

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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.