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Finding the Fourth Proportional to 38,821, 53,572.98 and 22,054

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Solution

The fourth proportional to 38,821, 53,572.98 and 22,054 is: 30,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821 : 53,572.98 = 22,054 : x
  2. Step 2: Convert to fraction form
    38,821/53,572.98 = 22,054/x
  3. Step 3: Cross multiply
    38,821x = 53,572.98 × 22,054
  4. Step 4: Simplify right side
    38,821x = 1,181,498,500.92
  5. Step 5: Solve for x
    x = 1,181,498,500.92/38,821
  6. Step 6: Final answer
    x = 30,434.52

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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.