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Finding the Fourth Proportional to 51,805.44, 77,691.84 and 34,368

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Solution

The fourth proportional to 51,805.44, 77,691.84 and 34,368 is: 51,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,805.44 : 77,691.84 = 34,368 : x
  2. Step 2: Convert to fraction form
    51,805.44/77,691.84 = 34,368/x
  3. Step 3: Cross multiply
    51,805.44x = 77,691.84 × 34,368
  4. Step 4: Simplify right side
    51,805.44x = 2,670,113,157.12
  5. Step 5: Solve for x
    x = 2,670,113,157.12/51,805.44
  6. Step 6: Final answer
    x = 51,541.17

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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.