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Finding the Fourth Proportional to 82,940.88, 114,521.16 and 54,686.16

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Solution

The fourth proportional to 82,940.88, 114,521.16 and 54,686.16 is: 75,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.88 : 114,521.16 = 54,686.16 : x
  2. Step 2: Convert to fraction form
    82,940.88/114,521.16 = 54,686.16/x
  3. Step 3: Cross multiply
    82,940.88x = 114,521.16 × 54,686.16
  4. Step 4: Simplify right side
    82,940.88x = 6,262,722,479.15
  5. Step 5: Solve for x
    x = 6,262,722,479.15/82,940.88
  6. Step 6: Final answer
    x = 75,508.27

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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.