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Finding the Fourth Proportional to 30,827.88, 42,544.74 and 17,400.33

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Solution

The fourth proportional to 30,827.88, 42,544.74 and 17,400.33 is: 24,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.88 : 42,544.74 = 17,400.33 : x
  2. Step 2: Convert to fraction form
    30,827.88/42,544.74 = 17,400.33/x
  3. Step 3: Cross multiply
    30,827.88x = 42,544.74 × 17,400.33
  4. Step 4: Simplify right side
    30,827.88x = 740,292,515.76
  5. Step 5: Solve for x
    x = 740,292,515.76/30,827.88
  6. Step 6: Final answer
    x = 24,013.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.