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Finding the Fourth Proportional to 38,454.76, 53,067.75 and 21,459.76

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Solution

The fourth proportional to 38,454.76, 53,067.75 and 21,459.76 is: 29,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.76 : 53,067.75 = 21,459.76 : x
  2. Step 2: Convert to fraction form
    38,454.76/53,067.75 = 21,459.76/x
  3. Step 3: Cross multiply
    38,454.76x = 53,067.75 × 21,459.76
  4. Step 4: Simplify right side
    38,454.76x = 1,138,821,178.74
  5. Step 5: Solve for x
    x = 1,138,821,178.74/38,454.76
  6. Step 6: Final answer
    x = 29,614.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.