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Finding the Fourth Proportional to 30,851.86, 42,575.57 and 16,704.70

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Solution

The fourth proportional to 30,851.86, 42,575.57 and 16,704.70 is: 23,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.86 : 42,575.57 = 16,704.70 : x
  2. Step 2: Convert to fraction form
    30,851.86/42,575.57 = 16,704.70/x
  3. Step 3: Cross multiply
    30,851.86x = 42,575.57 × 16,704.70
  4. Step 4: Simplify right side
    30,851.86x = 711,212,124.18
  5. Step 5: Solve for x
    x = 711,212,124.18/30,851.86
  6. Step 6: Final answer
    x = 23,052.49

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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.