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Finding the Fourth Proportional to 38,427.21, 53,034.75 and 22,518

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Solution

The fourth proportional to 38,427.21, 53,034.75 and 22,518 is: 31,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427.21 : 53,034.75 = 22,518 : x
  2. Step 2: Convert to fraction form
    38,427.21/53,034.75 = 22,518/x
  3. Step 3: Cross multiply
    38,427.21x = 53,034.75 × 22,518
  4. Step 4: Simplify right side
    38,427.21x = 1,194,236,500.50
  5. Step 5: Solve for x
    x = 1,194,236,500.50/38,427.21
  6. Step 6: Final answer
    x = 31,077.89

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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.