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Finding the Fourth Proportional to 68,977.36, 103,459.32 and 22,263.76

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Solution

The fourth proportional to 68,977.36, 103,459.32 and 22,263.76 is: 33,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,977.36 : 103,459.32 = 22,263.76 : x
  2. Step 2: Convert to fraction form
    68,977.36/103,459.32 = 22,263.76/x
  3. Step 3: Cross multiply
    68,977.36x = 103,459.32 × 22,263.76
  4. Step 4: Simplify right side
    68,977.36x = 2,303,393,470.24
  5. Step 5: Solve for x
    x = 2,303,393,470.24/68,977.36
  6. Step 6: Final answer
    x = 33,393.47

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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.