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Finding the Fourth Proportional to 38,781.32, 53,518.19 and 22,014.32

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Solution

The fourth proportional to 38,781.32, 53,518.19 and 22,014.32 is: 30,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.32 : 53,518.19 = 22,014.32 : x
  2. Step 2: Convert to fraction form
    38,781.32/53,518.19 = 22,014.32/x
  3. Step 3: Cross multiply
    38,781.32x = 53,518.19 × 22,014.32
  4. Step 4: Simplify right side
    38,781.32x = 1,178,166,182.82
  5. Step 5: Solve for x
    x = 1,178,166,182.82/38,781.32
  6. Step 6: Final answer
    x = 30,379.74

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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.