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Finding the Fourth Proportional to 82,957.52, 114,478.92 and 47,151.44

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Solution

The fourth proportional to 82,957.52, 114,478.92 and 47,151.44 is: 65,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.52 : 114,478.92 = 47,151.44 : x
  2. Step 2: Convert to fraction form
    82,957.52/114,478.92 = 47,151.44/x
  3. Step 3: Cross multiply
    82,957.52x = 114,478.92 × 47,151.44
  4. Step 4: Simplify right side
    82,957.52x = 5,397,845,927.64
  5. Step 5: Solve for x
    x = 5,397,845,927.64/82,957.52
  6. Step 6: Final answer
    x = 65,067.59

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1.5x scale

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.