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Finding the Fourth Proportional to 34,256, 51,384.02 and 9,632

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Solution

The fourth proportional to 34,256, 51,384.02 and 9,632 is: 14,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,256 : 51,384.02 = 9,632 : x
  2. Step 2: Convert to fraction form
    34,256/51,384.02 = 9,632/x
  3. Step 3: Cross multiply
    34,256x = 51,384.02 × 9,632
  4. Step 4: Simplify right side
    34,256x = 494,930,880.64
  5. Step 5: Solve for x
    x = 494,930,880.64/34,256
  6. Step 6: Final answer
    x = 14,448.01

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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.