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Finding the Fourth Proportional to 84,708.87, 116,896.50 and 52,434.96

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Solution

The fourth proportional to 84,708.87, 116,896.50 and 52,434.96 is: 72,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,708.87 : 116,896.50 = 52,434.96 : x
  2. Step 2: Convert to fraction form
    84,708.87/116,896.50 = 52,434.96/x
  3. Step 3: Cross multiply
    84,708.87x = 116,896.50 × 52,434.96
  4. Step 4: Simplify right side
    84,708.87x = 6,129,463,301.64
  5. Step 5: Solve for x
    x = 6,129,463,301.64/84,708.87
  6. Step 6: Final answer
    x = 72,359.17

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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.