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Finding the Fourth Proportional to 30,986.90, 42,760.53 and 17,557.37

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Solution

The fourth proportional to 30,986.90, 42,760.53 and 17,557.37 is: 24,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.90 : 42,760.53 = 17,557.37 : x
  2. Step 2: Convert to fraction form
    30,986.90/42,760.53 = 17,557.37/x
  3. Step 3: Cross multiply
    30,986.90x = 42,760.53 × 17,557.37
  4. Step 4: Simplify right side
    30,986.90x = 750,762,232.80
  5. Step 5: Solve for x
    x = 750,762,232.80/30,986.90
  6. Step 6: Final answer
    x = 24,228.38

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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.