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Finding the Fourth Proportional to 87,877.57, 121,270.39 and 47,590.40

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Solution

The fourth proportional to 87,877.57, 121,270.39 and 47,590.40 is: 65,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,877.57 : 121,270.39 = 47,590.40 : x
  2. Step 2: Convert to fraction form
    87,877.57/121,270.39 = 47,590.40/x
  3. Step 3: Cross multiply
    87,877.57x = 121,270.39 × 47,590.40
  4. Step 4: Simplify right side
    87,877.57x = 5,771,305,642.93
  5. Step 5: Solve for x
    x = 5,771,305,642.93/87,877.57
  6. Step 6: Final answer
    x = 65,674.39

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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.