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Finding the Fourth Proportional to 68,322.24, 102,474.88 and 18,406.24

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Solution

The fourth proportional to 68,322.24, 102,474.88 and 18,406.24 is: 27,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,322.24 : 102,474.88 = 18,406.24 : x
  2. Step 2: Convert to fraction form
    68,322.24/102,474.88 = 18,406.24/x
  3. Step 3: Cross multiply
    68,322.24x = 102,474.88 × 18,406.24
  4. Step 4: Simplify right side
    68,322.24x = 1,886,177,235.25
  5. Step 5: Solve for x
    x = 1,886,177,235.25/68,322.24
  6. Step 6: Final answer
    x = 27,607.08

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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.