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Finding the Fourth Proportional to 83,177, 114,784.10 and 47,367.02

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Solution

The fourth proportional to 83,177, 114,784.10 and 47,367.02 is: 65,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177 : 114,784.10 = 47,367.02 : x
  2. Step 2: Convert to fraction form
    83,177/114,784.10 = 47,367.02/x
  3. Step 3: Cross multiply
    83,177x = 114,784.10 × 47,367.02
  4. Step 4: Simplify right side
    83,177x = 5,436,980,760.38
  5. Step 5: Solve for x
    x = 5,436,980,760.38/83,177
  6. Step 6: Final answer
    x = 65,366.40

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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.