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Finding the Fourth Proportional to 38,193, 52,712.68 and 22,277.45

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Solution

The fourth proportional to 38,193, 52,712.68 and 22,277.45 is: 30,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193 : 52,712.68 = 22,277.45 : x
  2. Step 2: Convert to fraction form
    38,193/52,712.68 = 22,277.45/x
  3. Step 3: Cross multiply
    38,193x = 52,712.68 × 22,277.45
  4. Step 4: Simplify right side
    38,193x = 1,174,304,093.07
  5. Step 5: Solve for x
    x = 1,174,304,093.07/38,193
  6. Step 6: Final answer
    x = 30,746.58

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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.