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Finding the Fourth Proportional to 31,193.66, 46,789 and 11,470.84

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Solution

The fourth proportional to 31,193.66, 46,789 and 11,470.84 is: 17,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.66 : 46,789 = 11,470.84 : x
  2. Step 2: Convert to fraction form
    31,193.66/46,789 = 11,470.84/x
  3. Step 3: Cross multiply
    31,193.66x = 46,789 × 11,470.84
  4. Step 4: Simplify right side
    31,193.66x = 536,709,132.76
  5. Step 5: Solve for x
    x = 536,709,132.76/31,193.66
  6. Step 6: Final answer
    x = 17,205.71

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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.