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Finding the Fourth Proportional to 83,924.86, 115,790.18 and 47,620.30

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Solution

The fourth proportional to 83,924.86, 115,790.18 and 47,620.30 is: 65,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,924.86 : 115,790.18 = 47,620.30 : x
  2. Step 2: Convert to fraction form
    83,924.86/115,790.18 = 47,620.30/x
  3. Step 3: Cross multiply
    83,924.86x = 115,790.18 × 47,620.30
  4. Step 4: Simplify right side
    83,924.86x = 5,513,963,108.65
  5. Step 5: Solve for x
    x = 5,513,963,108.65/83,924.86
  6. Step 6: Final answer
    x = 65,701.19

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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.