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Finding the Fourth Proportional to 80,161.42, 110,602.85 and 51,833.02

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Solution

The fourth proportional to 80,161.42, 110,602.85 and 51,833.02 is: 71,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,161.42 : 110,602.85 = 51,833.02 : x
  2. Step 2: Convert to fraction form
    80,161.42/110,602.85 = 51,833.02/x
  3. Step 3: Cross multiply
    80,161.42x = 110,602.85 × 51,833.02
  4. Step 4: Simplify right side
    80,161.42x = 5,732,879,736.11
  5. Step 5: Solve for x
    x = 5,732,879,736.11/80,161.42
  6. Step 6: Final answer
    x = 71,516.69

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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.