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Finding the Fourth Proportional to 77,552.48, 116,153.76 and 35,912

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Solution

The fourth proportional to 77,552.48, 116,153.76 and 35,912 is: 53,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552.48 : 116,153.76 = 35,912 : x
  2. Step 2: Convert to fraction form
    77,552.48/116,153.76 = 35,912/x
  3. Step 3: Cross multiply
    77,552.48x = 116,153.76 × 35,912
  4. Step 4: Simplify right side
    77,552.48x = 4,171,313,829.12
  5. Step 5: Solve for x
    x = 4,171,313,829.12/77,552.48
  6. Step 6: Final answer
    x = 53,786.98

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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.