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Finding the Fourth Proportional to 57,290.47, 85,961.09 and 22,232.77

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Solution

The fourth proportional to 57,290.47, 85,961.09 and 22,232.77 is: 33,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,290.47 : 85,961.09 = 22,232.77 : x
  2. Step 2: Convert to fraction form
    57,290.47/85,961.09 = 22,232.77/x
  3. Step 3: Cross multiply
    57,290.47x = 85,961.09 × 22,232.77
  4. Step 4: Simplify right side
    57,290.47x = 1,911,153,142.92
  5. Step 5: Solve for x
    x = 1,911,153,142.92/57,290.47
  6. Step 6: Final answer
    x = 33,359.01

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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.