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Finding the Fourth Proportional to 51,578.52, 77,352 and 35,670.33

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Solution

The fourth proportional to 51,578.52, 77,352 and 35,670.33 is: 53,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,578.52 : 77,352 = 35,670.33 : x
  2. Step 2: Convert to fraction form
    51,578.52/77,352 = 35,670.33/x
  3. Step 3: Cross multiply
    51,578.52x = 77,352 × 35,670.33
  4. Step 4: Simplify right side
    51,578.52x = 2,759,171,366.16
  5. Step 5: Solve for x
    x = 2,759,171,366.16/51,578.52
  6. Step 6: Final answer
    x = 53,494.58

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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.