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Finding the Fourth Proportional to 35,712.71, 49,289.01 and 22,797.57

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Solution

The fourth proportional to 35,712.71, 49,289.01 and 22,797.57 is: 31,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.71 : 49,289.01 = 22,797.57 : x
  2. Step 2: Convert to fraction form
    35,712.71/49,289.01 = 22,797.57/x
  3. Step 3: Cross multiply
    35,712.71x = 49,289.01 × 22,797.57
  4. Step 4: Simplify right side
    35,712.71x = 1,123,669,477.80
  5. Step 5: Solve for x
    x = 1,123,669,477.80/35,712.71
  6. Step 6: Final answer
    x = 31,464.13

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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.