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Finding the Fourth Proportional to 34,291.42, 51,431.92 and 9,333.41

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Solution

The fourth proportional to 34,291.42, 51,431.92 and 9,333.41 is: 13,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.42 : 51,431.92 = 9,333.41 : x
  2. Step 2: Convert to fraction form
    34,291.42/51,431.92 = 9,333.41/x
  3. Step 3: Cross multiply
    34,291.42x = 51,431.92 × 9,333.41
  4. Step 4: Simplify right side
    34,291.42x = 480,034,939.29
  5. Step 5: Solve for x
    x = 480,034,939.29/34,291.42
  6. Step 6: Final answer
    x = 13,998.69

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Why These Related Problems?

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