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Finding the Fourth Proportional to 57,312.77, 85,974.62 and 22,255.16

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Solution

The fourth proportional to 57,312.77, 85,974.62 and 22,255.16 is: 33,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,312.77 : 85,974.62 = 22,255.16 : x
  2. Step 2: Convert to fraction form
    57,312.77/85,974.62 = 22,255.16/x
  3. Step 3: Cross multiply
    57,312.77x = 85,974.62 × 22,255.16
  4. Step 4: Simplify right side
    57,312.77x = 1,913,378,382.89
  5. Step 5: Solve for x
    x = 1,913,378,382.89/57,312.77
  6. Step 6: Final answer
    x = 33,384.86

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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.