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Finding the Fourth Proportional to 83,165.94, 114,762.60 and 47,348.82

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Solution

The fourth proportional to 83,165.94, 114,762.60 and 47,348.82 is: 65,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165.94 : 114,762.60 = 47,348.82 : x
  2. Step 2: Convert to fraction form
    83,165.94/114,762.60 = 47,348.82/x
  3. Step 3: Cross multiply
    83,165.94x = 114,762.60 × 47,348.82
  4. Step 4: Simplify right side
    83,165.94x = 5,433,873,690.13
  5. Step 5: Solve for x
    x = 5,433,873,690.13/83,165.94
  6. Step 6: Final answer
    x = 65,337.73

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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.