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Finding the Fourth Proportional to 34,064.64, 51,099.52 and 9,440

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Solution

The fourth proportional to 34,064.64, 51,099.52 and 9,440 is: 14,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.64 : 51,099.52 = 9,440 : x
  2. Step 2: Convert to fraction form
    34,064.64/51,099.52 = 9,440/x
  3. Step 3: Cross multiply
    34,064.64x = 51,099.52 × 9,440
  4. Step 4: Simplify right side
    34,064.64x = 482,379,468.80
  5. Step 5: Solve for x
    x = 482,379,468.80/34,064.64
  6. Step 6: Final answer
    x = 14,160.71

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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.