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Finding the Fourth Proportional to 34,139.88, 47,113.22 and 19,033.50

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Solution

The fourth proportional to 34,139.88, 47,113.22 and 19,033.50 is: 26,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,139.88 : 47,113.22 = 19,033.50 : x
  2. Step 2: Convert to fraction form
    34,139.88/47,113.22 = 19,033.50/x
  3. Step 3: Cross multiply
    34,139.88x = 47,113.22 × 19,033.50
  4. Step 4: Simplify right side
    34,139.88x = 896,729,472.87
  5. Step 5: Solve for x
    x = 896,729,472.87/34,139.88
  6. Step 6: Final answer
    x = 26,266.33

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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.