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Finding the Fourth Proportional to 56,846.78, 85,270.42 and 14,723.87

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Solution

The fourth proportional to 56,846.78, 85,270.42 and 14,723.87 is: 22,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,846.78 : 85,270.42 = 14,723.87 : x
  2. Step 2: Convert to fraction form
    56,846.78/85,270.42 = 14,723.87/x
  3. Step 3: Cross multiply
    56,846.78x = 85,270.42 × 14,723.87
  4. Step 4: Simplify right side
    56,846.78x = 1,255,510,578.93
  5. Step 5: Solve for x
    x = 1,255,510,578.93/56,846.78
  6. Step 6: Final answer
    x = 22,085.87

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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.