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Finding the Fourth Proportional to 77,224.94, 106,773.74 and 67,637.32

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Solution

The fourth proportional to 77,224.94, 106,773.74 and 67,637.32 is: 93,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,224.94 : 106,773.74 = 67,637.32 : x
  2. Step 2: Convert to fraction form
    77,224.94/106,773.74 = 67,637.32/x
  3. Step 3: Cross multiply
    77,224.94x = 106,773.74 × 67,637.32
  4. Step 4: Simplify right side
    77,224.94x = 7,221,889,619.98
  5. Step 5: Solve for x
    x = 7,221,889,619.98/77,224.94
  6. Step 6: Final answer
    x = 93,517.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.