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Finding the Fourth Proportional to 31,099.67, 42,904.02 and 19,763.09

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Solution

The fourth proportional to 31,099.67, 42,904.02 and 19,763.09 is: 27,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.67 : 42,904.02 = 19,763.09 : x
  2. Step 2: Convert to fraction form
    31,099.67/42,904.02 = 19,763.09/x
  3. Step 3: Cross multiply
    31,099.67x = 42,904.02 × 19,763.09
  4. Step 4: Simplify right side
    31,099.67x = 847,916,008.62
  5. Step 5: Solve for x
    x = 847,916,008.62/31,099.67
  6. Step 6: Final answer
    x = 27,264.47

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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.