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Finding the Fourth Proportional to 51,102.06, 76,666.05 and 16,042.02

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Solution

The fourth proportional to 51,102.06, 76,666.05 and 16,042.02 is: 24,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102.06 : 76,666.05 = 16,042.02 : x
  2. Step 2: Convert to fraction form
    51,102.06/76,666.05 = 16,042.02/x
  3. Step 3: Cross multiply
    51,102.06x = 76,666.05 × 16,042.02
  4. Step 4: Simplify right side
    51,102.06x = 1,229,878,307.42
  5. Step 5: Solve for x
    x = 1,229,878,307.42/51,102.06
  6. Step 6: Final answer
    x = 24,067.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.