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Finding the Fourth Proportional to 83,177.64, 114,784.98 and 47,367.66

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Solution

The fourth proportional to 83,177.64, 114,784.98 and 47,367.66 is: 65,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177.64 : 114,784.98 = 47,367.66 : x
  2. Step 2: Convert to fraction form
    83,177.64/114,784.98 = 47,367.66/x
  3. Step 3: Cross multiply
    83,177.64x = 114,784.98 × 47,367.66
  4. Step 4: Simplify right side
    83,177.64x = 5,437,095,905.75
  5. Step 5: Solve for x
    x = 5,437,095,905.75/83,177.64
  6. Step 6: Final answer
    x = 65,367.28

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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.