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Finding the Fourth Proportional to 31,067.72, 46,618 and 13,538.92

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Solution

The fourth proportional to 31,067.72, 46,618 and 13,538.92 is: 20,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.72 : 46,618 = 13,538.92 : x
  2. Step 2: Convert to fraction form
    31,067.72/46,618 = 13,538.92/x
  3. Step 3: Cross multiply
    31,067.72x = 46,618 × 13,538.92
  4. Step 4: Simplify right side
    31,067.72x = 631,157,372.56
  5. Step 5: Solve for x
    x = 631,157,372.56/31,067.72
  6. Step 6: Final answer
    x = 20,315.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.