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Finding the Fourth Proportional to 83,044.92, 114,602.22 and 49,510.20

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Solution

The fourth proportional to 83,044.92, 114,602.22 and 49,510.20 is: 68,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.92 : 114,602.22 = 49,510.20 : x
  2. Step 2: Convert to fraction form
    83,044.92/114,602.22 = 49,510.20/x
  3. Step 3: Cross multiply
    83,044.92x = 114,602.22 × 49,510.20
  4. Step 4: Simplify right side
    83,044.92x = 5,673,978,832.64
  5. Step 5: Solve for x
    x = 5,673,978,832.64/83,044.92
  6. Step 6: Final answer
    x = 68,324.21

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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.