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Finding the Fourth Proportional to 31,783, 43,860.54 and 20,605

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Solution

The fourth proportional to 31,783, 43,860.54 and 20,605 is: 28,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783 : 43,860.54 = 20,605 : x
  2. Step 2: Convert to fraction form
    31,783/43,860.54 = 20,605/x
  3. Step 3: Cross multiply
    31,783x = 43,860.54 × 20,605
  4. Step 4: Simplify right side
    31,783x = 903,746,426.70
  5. Step 5: Solve for x
    x = 903,746,426.70/31,783
  6. Step 6: Final answer
    x = 28,434.90

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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.