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Finding the Fourth Proportional to 30,414.42, 41,971.48 and 16,985.91

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Solution

The fourth proportional to 30,414.42, 41,971.48 and 16,985.91 is: 23,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.42 : 41,971.48 = 16,985.91 : x
  2. Step 2: Convert to fraction form
    30,414.42/41,971.48 = 16,985.91/x
  3. Step 3: Cross multiply
    30,414.42x = 41,971.48 × 16,985.91
  4. Step 4: Simplify right side
    30,414.42x = 712,923,529.52
  5. Step 5: Solve for x
    x = 712,923,529.52/30,414.42
  6. Step 6: Final answer
    x = 23,440.32

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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.