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Finding the Fourth Proportional to 31,314.72, 43,214.76 and 18,737.04

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Solution

The fourth proportional to 31,314.72, 43,214.76 and 18,737.04 is: 25,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.72 : 43,214.76 = 18,737.04 : x
  2. Step 2: Convert to fraction form
    31,314.72/43,214.76 = 18,737.04/x
  3. Step 3: Cross multiply
    31,314.72x = 43,214.76 × 18,737.04
  4. Step 4: Simplify right side
    31,314.72x = 809,716,686.71
  5. Step 5: Solve for x
    x = 809,716,686.71/31,314.72
  6. Step 6: Final answer
    x = 25,857.38

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Why These Related Problems?

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