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Finding the Fourth Proportional to 55,192.66, 82,802.98 and 15,749.92

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Solution

The fourth proportional to 55,192.66, 82,802.98 and 15,749.92 is: 23,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,192.66 : 82,802.98 = 15,749.92 : x
  2. Step 2: Convert to fraction form
    55,192.66/82,802.98 = 15,749.92/x
  3. Step 3: Cross multiply
    55,192.66x = 82,802.98 × 15,749.92
  4. Step 4: Simplify right side
    55,192.66x = 1,304,140,310.76
  5. Step 5: Solve for x
    x = 1,304,140,310.76/55,192.66
  6. Step 6: Final answer
    x = 23,628.87

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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.