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Finding the Fourth Proportional to 31,511.58, 47,218.13 and 19,800.20

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Solution

The fourth proportional to 31,511.58, 47,218.13 and 19,800.20 is: 29,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.58 : 47,218.13 = 19,800.20 : x
  2. Step 2: Convert to fraction form
    31,511.58/47,218.13 = 19,800.20/x
  3. Step 3: Cross multiply
    31,511.58x = 47,218.13 × 19,800.20
  4. Step 4: Simplify right side
    31,511.58x = 934,928,082.53
  5. Step 5: Solve for x
    x = 934,928,082.53/31,511.58
  6. Step 6: Final answer
    x = 29,669.35

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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.