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Finding the Fourth Proportional to 34,002.66, 51,003.94 and 9,042.72

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Solution

The fourth proportional to 34,002.66, 51,003.94 and 9,042.72 is: 13,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.66 : 51,003.94 = 9,042.72 : x
  2. Step 2: Convert to fraction form
    34,002.66/51,003.94 = 9,042.72/x
  3. Step 3: Cross multiply
    34,002.66x = 51,003.94 × 9,042.72
  4. Step 4: Simplify right side
    34,002.66x = 461,214,348.32
  5. Step 5: Solve for x
    x = 461,214,348.32/34,002.66
  6. Step 6: Final answer
    x = 13,564.07

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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.