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Finding the Fourth Proportional to 35,680.69, 49,239.35 and 19,766.17

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Solution

The fourth proportional to 35,680.69, 49,239.35 and 19,766.17 is: 27,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680.69 : 49,239.35 = 19,766.17 : x
  2. Step 2: Convert to fraction form
    35,680.69/49,239.35 = 19,766.17/x
  3. Step 3: Cross multiply
    35,680.69x = 49,239.35 × 19,766.17
  4. Step 4: Simplify right side
    35,680.69x = 973,273,362.79
  5. Step 5: Solve for x
    x = 973,273,362.79/35,680.69
  6. Step 6: Final answer
    x = 27,277.31

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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.