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Finding the Fourth Proportional to 31,237.86, 46,856.68 and 9,051.21

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Solution

The fourth proportional to 31,237.86, 46,856.68 and 9,051.21 is: 13,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.86 : 46,856.68 = 9,051.21 : x
  2. Step 2: Convert to fraction form
    31,237.86/46,856.68 = 9,051.21/x
  3. Step 3: Cross multiply
    31,237.86x = 46,856.68 × 9,051.21
  4. Step 4: Simplify right side
    31,237.86x = 424,109,627.95
  5. Step 5: Solve for x
    x = 424,109,627.95/31,237.86
  6. Step 6: Final answer
    x = 13,576.78

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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.