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Finding the Fourth Proportional to 84,331.18, 116,372.46 and 46,603

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Solution

The fourth proportional to 84,331.18, 116,372.46 and 46,603 is: 64,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,331.18 : 116,372.46 = 46,603 : x
  2. Step 2: Convert to fraction form
    84,331.18/116,372.46 = 46,603/x
  3. Step 3: Cross multiply
    84,331.18x = 116,372.46 × 46,603
  4. Step 4: Simplify right side
    84,331.18x = 5,423,305,753.38
  5. Step 5: Solve for x
    x = 5,423,305,753.38/84,331.18
  6. Step 6: Final answer
    x = 64,309.62

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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.