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Finding the Fourth Proportional to 82,860.54, 114,347.62 and 45,134.80

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Solution

The fourth proportional to 82,860.54, 114,347.62 and 45,134.80 is: 62,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,860.54 : 114,347.62 = 45,134.80 : x
  2. Step 2: Convert to fraction form
    82,860.54/114,347.62 = 45,134.80/x
  3. Step 3: Cross multiply
    82,860.54x = 114,347.62 × 45,134.80
  4. Step 4: Simplify right side
    82,860.54x = 5,161,056,959.18
  5. Step 5: Solve for x
    x = 5,161,056,959.18/82,860.54
  6. Step 6: Final answer
    x = 62,286.06

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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.