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Finding the Fourth Proportional to 83,223, 114,848.15 and 45,497.25

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Solution

The fourth proportional to 83,223, 114,848.15 and 45,497.25 is: 62,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223 : 114,848.15 = 45,497.25 : x
  2. Step 2: Convert to fraction form
    83,223/114,848.15 = 45,497.25/x
  3. Step 3: Cross multiply
    83,223x = 114,848.15 × 45,497.25
  4. Step 4: Simplify right side
    83,223x = 5,225,274,765.10
  5. Step 5: Solve for x
    x = 5,225,274,765.10/83,223
  6. Step 6: Final answer
    x = 62,786.43

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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.