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Finding the Fourth Proportional to 35,696.93, 49,262.06 and 19,781.65

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Solution

The fourth proportional to 35,696.93, 49,262.06 and 19,781.65 is: 27,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.93 : 49,262.06 = 19,781.65 : x
  2. Step 2: Convert to fraction form
    35,696.93/49,262.06 = 19,781.65/x
  3. Step 3: Cross multiply
    35,696.93x = 49,262.06 × 19,781.65
  4. Step 4: Simplify right side
    35,696.93x = 974,484,483.98
  5. Step 5: Solve for x
    x = 974,484,483.98/35,696.93
  6. Step 6: Final answer
    x = 27,298.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.