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Finding the Fourth Proportional to 57,289.47, 85,959.59 and 22,231.77

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Solution

The fourth proportional to 57,289.47, 85,959.59 and 22,231.77 is: 33,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,289.47 : 85,959.59 = 22,231.77 : x
  2. Step 2: Convert to fraction form
    57,289.47/85,959.59 = 22,231.77/x
  3. Step 3: Cross multiply
    57,289.47x = 85,959.59 × 22,231.77
  4. Step 4: Simplify right side
    57,289.47x = 1,911,033,723.02
  5. Step 5: Solve for x
    x = 1,911,033,723.02/57,289.47
  6. Step 6: Final answer
    x = 33,357.50

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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.