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Finding the Fourth Proportional to 38,645.21, 53,303.72 and 27,184.42

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Solution

The fourth proportional to 38,645.21, 53,303.72 and 27,184.42 is: 37,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645.21 : 53,303.72 = 27,184.42 : x
  2. Step 2: Convert to fraction form
    38,645.21/53,303.72 = 27,184.42/x
  3. Step 3: Cross multiply
    38,645.21x = 53,303.72 × 27,184.42
  4. Step 4: Simplify right side
    38,645.21x = 1,449,030,642.75
  5. Step 5: Solve for x
    x = 1,449,030,642.75/38,645.21
  6. Step 6: Final answer
    x = 37,495.73

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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.