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Finding the Fourth Proportional to 82,968.96, 114,496.95 and 45,243.21

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Solution

The fourth proportional to 82,968.96, 114,496.95 and 45,243.21 is: 62,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,968.96 : 114,496.95 = 45,243.21 : x
  2. Step 2: Convert to fraction form
    82,968.96/114,496.95 = 45,243.21/x
  3. Step 3: Cross multiply
    82,968.96x = 114,496.95 × 45,243.21
  4. Step 4: Simplify right side
    82,968.96x = 5,180,209,553.21
  5. Step 5: Solve for x
    x = 5,180,209,553.21/82,968.96
  6. Step 6: Final answer
    x = 62,435.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.