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Finding the Fourth Proportional to 51,552, 77,328 and 22,368

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Solution

The fourth proportional to 51,552, 77,328 and 22,368 is: 33,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,552 : 77,328 = 22,368 : x
  2. Step 2: Convert to fraction form
    51,552/77,328 = 22,368/x
  3. Step 3: Cross multiply
    51,552x = 77,328 × 22,368
  4. Step 4: Simplify right side
    51,552x = 1,729,672,704
  5. Step 5: Solve for x
    x = 1,729,672,704/51,552
  6. Step 6: Final answer
    x = 33,552

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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.