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Finding the Fourth Proportional to 31,238.60, 46,874.10 and 13,710.20

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Solution

The fourth proportional to 31,238.60, 46,874.10 and 13,710.20 is: 20,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.60 : 46,874.10 = 13,710.20 : x
  2. Step 2: Convert to fraction form
    31,238.60/46,874.10 = 13,710.20/x
  3. Step 3: Cross multiply
    31,238.60x = 46,874.10 × 13,710.20
  4. Step 4: Simplify right side
    31,238.60x = 642,653,285.82
  5. Step 5: Solve for x
    x = 642,653,285.82/31,238.60
  6. Step 6: Final answer
    x = 20,572.41

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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.