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Finding the Fourth Proportional to 34,122.16, 51,171 and 13,068.12

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Solution

The fourth proportional to 34,122.16, 51,171 and 13,068.12 is: 19,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.16 : 51,171 = 13,068.12 : x
  2. Step 2: Convert to fraction form
    34,122.16/51,171 = 13,068.12/x
  3. Step 3: Cross multiply
    34,122.16x = 51,171 × 13,068.12
  4. Step 4: Simplify right side
    34,122.16x = 668,708,768.52
  5. Step 5: Solve for x
    x = 668,708,768.52/34,122.16
  6. Step 6: Final answer
    x = 19,597.49

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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.