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Finding the Fourth Proportional to 36,314.72, 50,117.94 and 24,402.86

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Solution

The fourth proportional to 36,314.72, 50,117.94 and 24,402.86 is: 33,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,314.72 : 50,117.94 = 24,402.86 : x
  2. Step 2: Convert to fraction form
    36,314.72/50,117.94 = 24,402.86/x
  3. Step 3: Cross multiply
    36,314.72x = 50,117.94 × 24,402.86
  4. Step 4: Simplify right side
    36,314.72x = 1,223,021,073.31
  5. Step 5: Solve for x
    x = 1,223,021,073.31/36,314.72
  6. Step 6: Final answer
    x = 33,678.38

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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.