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Finding the Fourth Proportional to 83,109.71, 114,704.60 and 47,311.26

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Solution

The fourth proportional to 83,109.71, 114,704.60 and 47,311.26 is: 65,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109.71 : 114,704.60 = 47,311.26 : x
  2. Step 2: Convert to fraction form
    83,109.71/114,704.60 = 47,311.26/x
  3. Step 3: Cross multiply
    83,109.71x = 114,704.60 × 47,311.26
  4. Step 4: Simplify right side
    83,109.71x = 5,426,818,917.24
  5. Step 5: Solve for x
    x = 5,426,818,917.24/83,109.71
  6. Step 6: Final answer
    x = 65,297.05

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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.