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Finding the Fourth Proportional to 68,717.31, 102,927.87 and 46,408.02

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Solution

The fourth proportional to 68,717.31, 102,927.87 and 46,408.02 is: 69,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,717.31 : 102,927.87 = 46,408.02 : x
  2. Step 2: Convert to fraction form
    68,717.31/102,927.87 = 46,408.02/x
  3. Step 3: Cross multiply
    68,717.31x = 102,927.87 × 46,408.02
  4. Step 4: Simplify right side
    68,717.31x = 4,776,678,649.52
  5. Step 5: Solve for x
    x = 4,776,678,649.52/68,717.31
  6. Step 6: Final answer
    x = 69,512.01

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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.