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Finding the Fourth Proportional to 56,966.48, 85,461.84 and 19,516.50

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Solution

The fourth proportional to 56,966.48, 85,461.84 and 19,516.50 is: 29,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,966.48 : 85,461.84 = 19,516.50 : x
  2. Step 2: Convert to fraction form
    56,966.48/85,461.84 = 19,516.50/x
  3. Step 3: Cross multiply
    56,966.48x = 85,461.84 × 19,516.50
  4. Step 4: Simplify right side
    56,966.48x = 1,667,915,902.78
  5. Step 5: Solve for x
    x = 1,667,915,902.78/56,966.48
  6. Step 6: Final answer
    x = 29,278.90

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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.