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Finding the Fourth Proportional to 57,760.83, 86,649.46 and 17,783.15

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Solution

The fourth proportional to 57,760.83, 86,649.46 and 17,783.15 is: 26,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,760.83 : 86,649.46 = 17,783.15 : x
  2. Step 2: Convert to fraction form
    57,760.83/86,649.46 = 17,783.15/x
  3. Step 3: Cross multiply
    57,760.83x = 86,649.46 × 17,783.15
  4. Step 4: Simplify right side
    57,760.83x = 1,540,899,866.89
  5. Step 5: Solve for x
    x = 1,540,899,866.89/57,760.83
  6. Step 6: Final answer
    x = 26,677.25

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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.