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Finding the Fourth Proportional to 77,647.16, 116,470.78 and 61,991.48

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Solution

The fourth proportional to 77,647.16, 116,470.78 and 61,991.48 is: 92,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,647.16 : 116,470.78 = 61,991.48 : x
  2. Step 2: Convert to fraction form
    77,647.16/116,470.78 = 61,991.48/x
  3. Step 3: Cross multiply
    77,647.16x = 116,470.78 × 61,991.48
  4. Step 4: Simplify right side
    77,647.16x = 7,220,196,028.95
  5. Step 5: Solve for x
    x = 7,220,196,028.95/77,647.16
  6. Step 6: Final answer
    x = 92,987.25

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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.