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Finding the Fourth Proportional to 34,171.62, 51,253.62 and 9,214.16

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Solution

The fourth proportional to 34,171.62, 51,253.62 and 9,214.16 is: 13,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171.62 : 51,253.62 = 9,214.16 : x
  2. Step 2: Convert to fraction form
    34,171.62/51,253.62 = 9,214.16/x
  3. Step 3: Cross multiply
    34,171.62x = 51,253.62 × 9,214.16
  4. Step 4: Simplify right side
    34,171.62x = 472,258,798.99
  5. Step 5: Solve for x
    x = 472,258,798.99/34,171.62
  6. Step 6: Final answer
    x = 13,820.21

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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.