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Finding the Fourth Proportional to 70,054.80, 96,674.88 and 38,223

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Solution

The fourth proportional to 70,054.80, 96,674.88 and 38,223 is: 52,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054.80 : 96,674.88 = 38,223 : x
  2. Step 2: Convert to fraction form
    70,054.80/96,674.88 = 38,223/x
  3. Step 3: Cross multiply
    70,054.80x = 96,674.88 × 38,223
  4. Step 4: Simplify right side
    70,054.80x = 3,695,203,938.24
  5. Step 5: Solve for x
    x = 3,695,203,938.24/70,054.80
  6. Step 6: Final answer
    x = 52,747.33

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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.