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Finding the Fourth Proportional to 35,721.69, 49,295.70 and 19,806.14

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Solution

The fourth proportional to 35,721.69, 49,295.70 and 19,806.14 is: 27,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,721.69 : 49,295.70 = 19,806.14 : x
  2. Step 2: Convert to fraction form
    35,721.69/49,295.70 = 19,806.14/x
  3. Step 3: Cross multiply
    35,721.69x = 49,295.70 × 19,806.14
  4. Step 4: Simplify right side
    35,721.69x = 976,357,289.12
  5. Step 5: Solve for x
    x = 976,357,289.12/35,721.69
  6. Step 6: Final answer
    x = 27,332.34

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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.