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Finding the Fourth Proportional to 34,033.92, 51,048.96 and 9,408

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Solution

The fourth proportional to 34,033.92, 51,048.96 and 9,408 is: 14,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.92 : 51,048.96 = 9,408 : x
  2. Step 2: Convert to fraction form
    34,033.92/51,048.96 = 9,408/x
  3. Step 3: Cross multiply
    34,033.92x = 51,048.96 × 9,408
  4. Step 4: Simplify right side
    34,033.92x = 480,268,615.68
  5. Step 5: Solve for x
    x = 480,268,615.68/34,033.92
  6. Step 6: Final answer
    x = 14,111.47

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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.