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Finding the Fourth Proportional to 68,663.92, 102,969.96 and 31,702

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Solution

The fourth proportional to 68,663.92, 102,969.96 and 31,702 is: 47,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,663.92 : 102,969.96 = 31,702 : x
  2. Step 2: Convert to fraction form
    68,663.92/102,969.96 = 31,702/x
  3. Step 3: Cross multiply
    68,663.92x = 102,969.96 × 31,702
  4. Step 4: Simplify right side
    68,663.92x = 3,264,353,671.92
  5. Step 5: Solve for x
    x = 3,264,353,671.92/68,663.92
  6. Step 6: Final answer
    x = 47,541.03

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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.