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Finding the Fourth Proportional to 71,205.24, 106,813.50 and 21,281.70

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Solution

The fourth proportional to 71,205.24, 106,813.50 and 21,281.70 is: 31,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.24 : 106,813.50 = 21,281.70 : x
  2. Step 2: Convert to fraction form
    71,205.24/106,813.50 = 21,281.70/x
  3. Step 3: Cross multiply
    71,205.24x = 106,813.50 × 21,281.70
  4. Step 4: Simplify right side
    71,205.24x = 2,273,172,862.95
  5. Step 5: Solve for x
    x = 2,273,172,862.95/71,205.24
  6. Step 6: Final answer
    x = 31,924.24

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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.