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Finding the Fourth Proportional to 34,006.22, 51,009.26 and 9,046.31

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Solution

The fourth proportional to 34,006.22, 51,009.26 and 9,046.31 is: 13,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.22 : 51,009.26 = 9,046.31 : x
  2. Step 2: Convert to fraction form
    34,006.22/51,009.26 = 9,046.31/x
  3. Step 3: Cross multiply
    34,006.22x = 51,009.26 × 9,046.31
  4. Step 4: Simplify right side
    34,006.22x = 461,445,278.55
  5. Step 5: Solve for x
    x = 461,445,278.55/34,006.22
  6. Step 6: Final answer
    x = 13,569.44

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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.