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Finding the Fourth Proportional to 37,861.32, 56,789.93 and 11,564.01

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Solution

The fourth proportional to 37,861.32, 56,789.93 and 11,564.01 is: 17,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,861.32 : 56,789.93 = 11,564.01 : x
  2. Step 2: Convert to fraction form
    37,861.32/56,789.93 = 11,564.01/x
  3. Step 3: Cross multiply
    37,861.32x = 56,789.93 × 11,564.01
  4. Step 4: Simplify right side
    37,861.32x = 656,719,318.42
  5. Step 5: Solve for x
    x = 656,719,318.42/37,861.32
  6. Step 6: Final answer
    x = 17,345.39

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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.