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Finding the Fourth Proportional to 84,232.83, 116,102.88 and 59,712

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Solution

The fourth proportional to 84,232.83, 116,102.88 and 59,712 is: 82,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,232.83 : 116,102.88 = 59,712 : x
  2. Step 2: Convert to fraction form
    84,232.83/116,102.88 = 59,712/x
  3. Step 3: Cross multiply
    84,232.83x = 116,102.88 × 59,712
  4. Step 4: Simplify right side
    84,232.83x = 6,932,735,170.56
  5. Step 5: Solve for x
    x = 6,932,735,170.56/84,232.83
  6. Step 6: Final answer
    x = 82,304.43

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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.