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Finding the Fourth Proportional to 34,403.14, 51,604.74 and 9,443.52

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Solution

The fourth proportional to 34,403.14, 51,604.74 and 9,443.52 is: 14,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403.14 : 51,604.74 = 9,443.52 : x
  2. Step 2: Convert to fraction form
    34,403.14/51,604.74 = 9,443.52/x
  3. Step 3: Cross multiply
    34,403.14x = 51,604.74 × 9,443.52
  4. Step 4: Simplify right side
    34,403.14x = 487,330,394.28
  5. Step 5: Solve for x
    x = 487,330,394.28/34,403.14
  6. Step 6: Final answer
    x = 14,165.29

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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.