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Finding the Fourth Proportional to 35,847.45, 49,470.11 and 19,716.50

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Solution

The fourth proportional to 35,847.45, 49,470.11 and 19,716.50 is: 27,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.45 : 49,470.11 = 19,716.50 : x
  2. Step 2: Convert to fraction form
    35,847.45/49,470.11 = 19,716.50/x
  3. Step 3: Cross multiply
    35,847.45x = 49,470.11 × 19,716.50
  4. Step 4: Simplify right side
    35,847.45x = 975,377,423.82
  5. Step 5: Solve for x
    x = 975,377,423.82/35,847.45
  6. Step 6: Final answer
    x = 27,209.12

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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.