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Finding the Fourth Proportional to 82,934.50, 114,449.64 and 47,124.55

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Solution

The fourth proportional to 82,934.50, 114,449.64 and 47,124.55 is: 65,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,934.50 : 114,449.64 = 47,124.55 : x
  2. Step 2: Convert to fraction form
    82,934.50/114,449.64 = 47,124.55/x
  3. Step 3: Cross multiply
    82,934.50x = 114,449.64 × 47,124.55
  4. Step 4: Simplify right side
    82,934.50x = 5,393,387,782.66
  5. Step 5: Solve for x
    x = 5,393,387,782.66/82,934.50
  6. Step 6: Final answer
    x = 65,031.90

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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.