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Finding the Fourth Proportional to 106,434.96, 159,652.44 and 59,027.64

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Solution

The fourth proportional to 106,434.96, 159,652.44 and 59,027.64 is: 88,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434.96 : 159,652.44 = 59,027.64 : x
  2. Step 2: Convert to fraction form
    106,434.96/159,652.44 = 59,027.64/x
  3. Step 3: Cross multiply
    106,434.96x = 159,652.44 × 59,027.64
  4. Step 4: Simplify right side
    106,434.96x = 9,423,906,753.44
  5. Step 5: Solve for x
    x = 9,423,906,753.44/106,434.96
  6. Step 6: Final answer
    x = 88,541.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.