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Finding the Fourth Proportional to 69,892.38, 96,339.33 and 47,224.08

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Solution

The fourth proportional to 69,892.38, 96,339.33 and 47,224.08 is: 65,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,892.38 : 96,339.33 = 47,224.08 : x
  2. Step 2: Convert to fraction form
    69,892.38/96,339.33 = 47,224.08/x
  3. Step 3: Cross multiply
    69,892.38x = 96,339.33 × 47,224.08
  4. Step 4: Simplify right side
    69,892.38x = 4,549,536,227.07
  5. Step 5: Solve for x
    x = 4,549,536,227.07/69,892.38
  6. Step 6: Final answer
    x = 65,093.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.