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Finding the Fourth Proportional to 83,031.63, 114,583.03 and 47,221.59

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Solution

The fourth proportional to 83,031.63, 114,583.03 and 47,221.59 is: 65,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.63 : 114,583.03 = 47,221.59 : x
  2. Step 2: Convert to fraction form
    83,031.63/114,583.03 = 47,221.59/x
  3. Step 3: Cross multiply
    83,031.63x = 114,583.03 × 47,221.59
  4. Step 4: Simplify right side
    83,031.63x = 5,410,792,863.62
  5. Step 5: Solve for x
    x = 5,410,792,863.62/83,031.63
  6. Step 6: Final answer
    x = 65,165.44

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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.