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Finding the Fourth Proportional to 57,784.08, 86,605.20 and 32,845

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Solution

The fourth proportional to 57,784.08, 86,605.20 and 32,845 is: 49,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784.08 : 86,605.20 = 32,845 : x
  2. Step 2: Convert to fraction form
    57,784.08/86,605.20 = 32,845/x
  3. Step 3: Cross multiply
    57,784.08x = 86,605.20 × 32,845
  4. Step 4: Simplify right side
    57,784.08x = 2,844,547,794
  5. Step 5: Solve for x
    x = 2,844,547,794/57,784.08
  6. Step 6: Final answer
    x = 49,227.19

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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.