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Finding the Fourth Proportional to 31,671.89, 43,688.16 and 20,916.86

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Solution

The fourth proportional to 31,671.89, 43,688.16 and 20,916.86 is: 28,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.89 : 43,688.16 = 20,916.86 : x
  2. Step 2: Convert to fraction form
    31,671.89/43,688.16 = 20,916.86/x
  3. Step 3: Cross multiply
    31,671.89x = 43,688.16 × 20,916.86
  4. Step 4: Simplify right side
    31,671.89x = 913,818,907.94
  5. Step 5: Solve for x
    x = 913,818,907.94/31,671.89
  6. Step 6: Final answer
    x = 28,852.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.