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Finding the Fourth Proportional to 32,656.90, 45,002.01 and 23,198.98

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Solution

The fourth proportional to 32,656.90, 45,002.01 and 23,198.98 is: 31,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.90 : 45,002.01 = 23,198.98 : x
  2. Step 2: Convert to fraction form
    32,656.90/45,002.01 = 23,198.98/x
  3. Step 3: Cross multiply
    32,656.90x = 45,002.01 × 23,198.98
  4. Step 4: Simplify right side
    32,656.90x = 1,044,000,729.95
  5. Step 5: Solve for x
    x = 1,044,000,729.95/32,656.90
  6. Step 6: Final answer
    x = 31,968.76

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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.