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Finding the Fourth Proportional to 56,754.64, 85,137.76 and 21,723.76

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Solution

The fourth proportional to 56,754.64, 85,137.76 and 21,723.76 is: 32,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,754.64 : 85,137.76 = 21,723.76 : x
  2. Step 2: Convert to fraction form
    56,754.64/85,137.76 = 21,723.76/x
  3. Step 3: Cross multiply
    56,754.64x = 85,137.76 × 21,723.76
  4. Step 4: Simplify right side
    56,754.64x = 1,849,512,265.18
  5. Step 5: Solve for x
    x = 1,849,512,265.18/56,754.64
  6. Step 6: Final answer
    x = 32,587.86

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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.