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Finding the Fourth Proportional to 84,414, 116,494.98 and 46,688.28

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Solution

The fourth proportional to 84,414, 116,494.98 and 46,688.28 is: 64,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,414 : 116,494.98 = 46,688.28 : x
  2. Step 2: Convert to fraction form
    84,414/116,494.98 = 46,688.28/x
  3. Step 3: Cross multiply
    84,414x = 116,494.98 × 46,688.28
  4. Step 4: Simplify right side
    84,414x = 5,438,950,244.83
  5. Step 5: Solve for x
    x = 5,438,950,244.83/84,414
  6. Step 6: Final answer
    x = 64,431.85

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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.