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Finding the Fourth Proportional to 68,045.64, 102,024.14 and 23,669

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Solution

The fourth proportional to 68,045.64, 102,024.14 and 23,669 is: 35,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,045.64 : 102,024.14 = 23,669 : x
  2. Step 2: Convert to fraction form
    68,045.64/102,024.14 = 23,669/x
  3. Step 3: Cross multiply
    68,045.64x = 102,024.14 × 23,669
  4. Step 4: Simplify right side
    68,045.64x = 2,414,809,369.66
  5. Step 5: Solve for x
    x = 2,414,809,369.66/68,045.64
  6. Step 6: Final answer
    x = 35,488.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.