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Finding the Fourth Proportional to 31,215, 46,822.50 and 10,439.04

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Solution

The fourth proportional to 31,215, 46,822.50 and 10,439.04 is: 15,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215 : 46,822.50 = 10,439.04 : x
  2. Step 2: Convert to fraction form
    31,215/46,822.50 = 10,439.04/x
  3. Step 3: Cross multiply
    31,215x = 46,822.50 × 10,439.04
  4. Step 4: Simplify right side
    31,215x = 488,781,950.40
  5. Step 5: Solve for x
    x = 488,781,950.40/31,215
  6. Step 6: Final answer
    x = 15,658.56

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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.