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Finding the Fourth Proportional to 47,783.79, 65,934.41 and 27,636.66

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Solution

The fourth proportional to 47,783.79, 65,934.41 and 27,636.66 is: 38,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.79 : 65,934.41 = 27,636.66 : x
  2. Step 2: Convert to fraction form
    47,783.79/65,934.41 = 27,636.66/x
  3. Step 3: Cross multiply
    47,783.79x = 65,934.41 × 27,636.66
  4. Step 4: Simplify right side
    47,783.79x = 1,822,206,733.29
  5. Step 5: Solve for x
    x = 1,822,206,733.29/47,783.79
  6. Step 6: Final answer
    x = 38,134.41

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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.