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Finding the Fourth Proportional to 31,159.52, 46,745.45 and 11,438.25

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Solution

The fourth proportional to 31,159.52, 46,745.45 and 11,438.25 is: 17,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.52 : 46,745.45 = 11,438.25 : x
  2. Step 2: Convert to fraction form
    31,159.52/46,745.45 = 11,438.25/x
  3. Step 3: Cross multiply
    31,159.52x = 46,745.45 × 11,438.25
  4. Step 4: Simplify right side
    31,159.52x = 534,686,086.27
  5. Step 5: Solve for x
    x = 534,686,086.27/31,159.52
  6. Step 6: Final answer
    x = 17,159.64

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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.