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Finding the Fourth Proportional to 34,157, 51,244.14 and 9,533

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Solution

The fourth proportional to 34,157, 51,244.14 and 9,533 is: 14,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157 : 51,244.14 = 9,533 : x
  2. Step 2: Convert to fraction form
    34,157/51,244.14 = 9,533/x
  3. Step 3: Cross multiply
    34,157x = 51,244.14 × 9,533
  4. Step 4: Simplify right side
    34,157x = 488,510,386.62
  5. Step 5: Solve for x
    x = 488,510,386.62/34,157
  6. Step 6: Final answer
    x = 14,301.91

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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.