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Finding the Fourth Proportional to 85,402.38, 117,853.05 and 47,164.71

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Solution

The fourth proportional to 85,402.38, 117,853.05 and 47,164.71 is: 65,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402.38 : 117,853.05 = 47,164.71 : x
  2. Step 2: Convert to fraction form
    85,402.38/117,853.05 = 47,164.71/x
  3. Step 3: Cross multiply
    85,402.38x = 117,853.05 × 47,164.71
  4. Step 4: Simplify right side
    85,402.38x = 5,558,504,925.87
  5. Step 5: Solve for x
    x = 5,558,504,925.87/85,402.38
  6. Step 6: Final answer
    x = 65,086.07

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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.