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Finding the Fourth Proportional to 31,057.83, 42,860.07 and 17,629.11

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Solution

The fourth proportional to 31,057.83, 42,860.07 and 17,629.11 is: 24,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.83 : 42,860.07 = 17,629.11 : x
  2. Step 2: Convert to fraction form
    31,057.83/42,860.07 = 17,629.11/x
  3. Step 3: Cross multiply
    31,057.83x = 42,860.07 × 17,629.11
  4. Step 4: Simplify right side
    31,057.83x = 755,584,888.64
  5. Step 5: Solve for x
    x = 755,584,888.64/31,057.83
  6. Step 6: Final answer
    x = 24,328.32

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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.