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Finding the Fourth Proportional to 57,807.99, 86,712.30 and 17,826.48

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Solution

The fourth proportional to 57,807.99, 86,712.30 and 17,826.48 is: 26,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807.99 : 86,712.30 = 17,826.48 : x
  2. Step 2: Convert to fraction form
    57,807.99/86,712.30 = 17,826.48/x
  3. Step 3: Cross multiply
    57,807.99x = 86,712.30 × 17,826.48
  4. Step 4: Simplify right side
    57,807.99x = 1,545,775,081.70
  5. Step 5: Solve for x
    x = 1,545,775,081.70/57,807.99
  6. Step 6: Final answer
    x = 26,739.82

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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.