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Finding the Fourth Proportional to 64,178.75, 96,227.12 and 30,832.47

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Solution

The fourth proportional to 64,178.75, 96,227.12 and 30,832.47 is: 46,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,178.75 : 96,227.12 = 30,832.47 : x
  2. Step 2: Convert to fraction form
    64,178.75/96,227.12 = 30,832.47/x
  3. Step 3: Cross multiply
    64,178.75x = 96,227.12 × 30,832.47
  4. Step 4: Simplify right side
    64,178.75x = 2,966,919,155.29
  5. Step 5: Solve for x
    x = 2,966,919,155.29/64,178.75
  6. Step 6: Final answer
    x = 46,229.00

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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.