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Finding the Fourth Proportional to 31,197.60, 46,763.28 and 14,538.24

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Solution

The fourth proportional to 31,197.60, 46,763.28 and 14,538.24 is: 21,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197.60 : 46,763.28 = 14,538.24 : x
  2. Step 2: Convert to fraction form
    31,197.60/46,763.28 = 14,538.24/x
  3. Step 3: Cross multiply
    31,197.60x = 46,763.28 × 14,538.24
  4. Step 4: Simplify right side
    31,197.60x = 679,855,787.83
  5. Step 5: Solve for x
    x = 679,855,787.83/31,197.60
  6. Step 6: Final answer
    x = 21,791.93

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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.