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Finding the Fourth Proportional to 83,175.04, 114,784.86 and 47,366.56

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Solution

The fourth proportional to 83,175.04, 114,784.86 and 47,366.56 is: 65,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.04 : 114,784.86 = 47,366.56 : x
  2. Step 2: Convert to fraction form
    83,175.04/114,784.86 = 47,366.56/x
  3. Step 3: Cross multiply
    83,175.04x = 114,784.86 × 47,366.56
  4. Step 4: Simplify right side
    83,175.04x = 5,436,963,958.28
  5. Step 5: Solve for x
    x = 5,436,963,958.28/83,175.04
  6. Step 6: Final answer
    x = 65,367.73

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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.