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Finding the Fourth Proportional to 52,371.14, 78,510.24 and 19,085

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Solution

The fourth proportional to 52,371.14, 78,510.24 and 19,085 is: 28,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,371.14 : 78,510.24 = 19,085 : x
  2. Step 2: Convert to fraction form
    52,371.14/78,510.24 = 19,085/x
  3. Step 3: Cross multiply
    52,371.14x = 78,510.24 × 19,085
  4. Step 4: Simplify right side
    52,371.14x = 1,498,367,930.40
  5. Step 5: Solve for x
    x = 1,498,367,930.40/52,371.14
  6. Step 6: Final answer
    x = 28,610.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.