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Finding the Fourth Proportional to 59,054.92, 81,496.16 and 32,197.88

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Solution

The fourth proportional to 59,054.92, 81,496.16 and 32,197.88 is: 44,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,054.92 : 81,496.16 = 32,197.88 : x
  2. Step 2: Convert to fraction form
    59,054.92/81,496.16 = 32,197.88/x
  3. Step 3: Cross multiply
    59,054.92x = 81,496.16 × 32,197.88
  4. Step 4: Simplify right side
    59,054.92x = 2,624,003,650.26
  5. Step 5: Solve for x
    x = 2,624,003,650.26/59,054.92
  6. Step 6: Final answer
    x = 44,433.28

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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.