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Finding the Fourth Proportional to 82,937.25, 114,454.22 and 45,212.31

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Solution

The fourth proportional to 82,937.25, 114,454.22 and 45,212.31 is: 62,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937.25 : 114,454.22 = 45,212.31 : x
  2. Step 2: Convert to fraction form
    82,937.25/114,454.22 = 45,212.31/x
  3. Step 3: Cross multiply
    82,937.25x = 114,454.22 × 45,212.31
  4. Step 4: Simplify right side
    82,937.25x = 5,174,739,449.39
  5. Step 5: Solve for x
    x = 5,174,739,449.39/82,937.25
  6. Step 6: Final answer
    x = 62,393.43

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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.