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Finding the Fourth Proportional to 56,911.46, 85,377.20 and 19,462.72

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Solution

The fourth proportional to 56,911.46, 85,377.20 and 19,462.72 is: 29,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,911.46 : 85,377.20 = 19,462.72 : x
  2. Step 2: Convert to fraction form
    56,911.46/85,377.20 = 19,462.72/x
  3. Step 3: Cross multiply
    56,911.46x = 85,377.20 × 19,462.72
  4. Step 4: Simplify right side
    56,911.46x = 1,661,672,537.98
  5. Step 5: Solve for x
    x = 1,661,672,537.98/56,911.46
  6. Step 6: Final answer
    x = 29,197.50

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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.