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Finding the Fourth Proportional to 35,680.24, 49,239.18 and 19,765

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Solution

The fourth proportional to 35,680.24, 49,239.18 and 19,765 is: 27,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680.24 : 49,239.18 = 19,765 : x
  2. Step 2: Convert to fraction form
    35,680.24/49,239.18 = 19,765/x
  3. Step 3: Cross multiply
    35,680.24x = 49,239.18 × 19,765
  4. Step 4: Simplify right side
    35,680.24x = 973,212,392.70
  5. Step 5: Solve for x
    x = 973,212,392.70/35,680.24
  6. Step 6: Final answer
    x = 27,275.95

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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.