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Finding the Fourth Proportional to 35,716.84, 49,265.76 and 22,949.92

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Solution

The fourth proportional to 35,716.84, 49,265.76 and 22,949.92 is: 31,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716.84 : 49,265.76 = 22,949.92 : x
  2. Step 2: Convert to fraction form
    35,716.84/49,265.76 = 22,949.92/x
  3. Step 3: Cross multiply
    35,716.84x = 49,265.76 × 22,949.92
  4. Step 4: Simplify right side
    35,716.84x = 1,130,645,250.74
  5. Step 5: Solve for x
    x = 1,130,645,250.74/35,716.84
  6. Step 6: Final answer
    x = 31,655.80

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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.