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Finding the Fourth Proportional to 31,005.58, 46,507.14 and 13,228.90

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Solution

The fourth proportional to 31,005.58, 46,507.14 and 13,228.90 is: 19,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.58 : 46,507.14 = 13,228.90 : x
  2. Step 2: Convert to fraction form
    31,005.58/46,507.14 = 13,228.90/x
  3. Step 3: Cross multiply
    31,005.58x = 46,507.14 × 13,228.90
  4. Step 4: Simplify right side
    31,005.58x = 615,238,304.35
  5. Step 5: Solve for x
    x = 615,238,304.35/31,005.58
  6. Step 6: Final answer
    x = 19,842.83

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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.