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Finding the Fourth Proportional to 57,772.63, 79,726.27 and 33,578.33

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Solution

The fourth proportional to 57,772.63, 79,726.27 and 33,578.33 is: 46,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.63 : 79,726.27 = 33,578.33 : x
  2. Step 2: Convert to fraction form
    57,772.63/79,726.27 = 33,578.33/x
  3. Step 3: Cross multiply
    57,772.63x = 79,726.27 × 33,578.33
  4. Step 4: Simplify right side
    57,772.63x = 2,677,075,119.10
  5. Step 5: Solve for x
    x = 2,677,075,119.10/57,772.63
  6. Step 6: Final answer
    x = 46,338.12

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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.