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Finding the Fourth Proportional to 38,781.82, 53,518.88 and 22,014.82

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Solution

The fourth proportional to 38,781.82, 53,518.88 and 22,014.82 is: 30,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.82 : 53,518.88 = 22,014.82 : x
  2. Step 2: Convert to fraction form
    38,781.82/53,518.88 = 22,014.82/x
  3. Step 3: Cross multiply
    38,781.82x = 53,518.88 × 22,014.82
  4. Step 4: Simplify right side
    38,781.82x = 1,178,208,132.13
  5. Step 5: Solve for x
    x = 1,178,208,132.13/38,781.82
  6. Step 6: Final answer
    x = 30,380.43

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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.