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Finding the Fourth Proportional to 55,650.96, 83,384.64 and 40,865.76

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Solution

The fourth proportional to 55,650.96, 83,384.64 and 40,865.76 is: 61,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,650.96 : 83,384.64 = 40,865.76 : x
  2. Step 2: Convert to fraction form
    55,650.96/83,384.64 = 40,865.76/x
  3. Step 3: Cross multiply
    55,650.96x = 83,384.64 × 40,865.76
  4. Step 4: Simplify right side
    55,650.96x = 3,407,576,685.93
  5. Step 5: Solve for x
    x = 3,407,576,685.93/55,650.96
  6. Step 6: Final answer
    x = 61,231.23

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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.