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Finding the Fourth Proportional to 30,415.78, 41,972.74 and 16,986.93

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Solution

The fourth proportional to 30,415.78, 41,972.74 and 16,986.93 is: 23,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.78 : 41,972.74 = 16,986.93 : x
  2. Step 2: Convert to fraction form
    30,415.78/41,972.74 = 16,986.93/x
  3. Step 3: Cross multiply
    30,415.78x = 41,972.74 × 16,986.93
  4. Step 4: Simplify right side
    30,415.78x = 712,987,996.29
  5. Step 5: Solve for x
    x = 712,987,996.29/30,415.78
  6. Step 6: Final answer
    x = 23,441.38

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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.