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Finding the Fourth Proportional to 82,953.52, 114,478.92 and 47,149.60

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Solution

The fourth proportional to 82,953.52, 114,478.92 and 47,149.60 is: 65,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.52 : 114,478.92 = 47,149.60 : x
  2. Step 2: Convert to fraction form
    82,953.52/114,478.92 = 47,149.60/x
  3. Step 3: Cross multiply
    82,953.52x = 114,478.92 × 47,149.60
  4. Step 4: Simplify right side
    82,953.52x = 5,397,635,286.43
  5. Step 5: Solve for x
    x = 5,397,635,286.43/82,953.52
  6. Step 6: Final answer
    x = 65,068.19

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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.