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Finding the Fourth Proportional to 51,552, 77,249.28 and 36,792

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Solution

The fourth proportional to 51,552, 77,249.28 and 36,792 is: 55,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,552 : 77,249.28 = 36,792 : x
  2. Step 2: Convert to fraction form
    51,552/77,249.28 = 36,792/x
  3. Step 3: Cross multiply
    51,552x = 77,249.28 × 36,792
  4. Step 4: Simplify right side
    51,552x = 2,842,155,509.76
  5. Step 5: Solve for x
    x = 2,842,155,509.76/51,552
  6. Step 6: Final answer
    x = 55,131.82

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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.