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Finding the Fourth Proportional to 83,223.44, 114,848.34 and 45,497.69

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Solution

The fourth proportional to 83,223.44, 114,848.34 and 45,497.69 is: 62,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.44 : 114,848.34 = 45,497.69 : x
  2. Step 2: Convert to fraction form
    83,223.44/114,848.34 = 45,497.69/x
  3. Step 3: Cross multiply
    83,223.44x = 114,848.34 × 45,497.69
  4. Step 4: Simplify right side
    83,223.44x = 5,225,334,170.33
  5. Step 5: Solve for x
    x = 5,225,334,170.33/83,223.44
  6. Step 6: Final answer
    x = 62,786.81

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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.