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Finding the Fourth Proportional to 30,851.40, 42,575.09 and 16,704.24

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Solution

The fourth proportional to 30,851.40, 42,575.09 and 16,704.24 is: 23,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.40 : 42,575.09 = 16,704.24 : x
  2. Step 2: Convert to fraction form
    30,851.40/42,575.09 = 16,704.24/x
  3. Step 3: Cross multiply
    30,851.40x = 42,575.09 × 16,704.24
  4. Step 4: Simplify right side
    30,851.40x = 711,184,658.63
  5. Step 5: Solve for x
    x = 711,184,658.63/30,851.40
  6. Step 6: Final answer
    x = 23,051.94

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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.