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Finding the Fourth Proportional to 31,406.39, 43,342.87 and 19,477.67

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Solution

The fourth proportional to 31,406.39, 43,342.87 and 19,477.67 is: 26,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.39 : 43,342.87 = 19,477.67 : x
  2. Step 2: Convert to fraction form
    31,406.39/43,342.87 = 19,477.67/x
  3. Step 3: Cross multiply
    31,406.39x = 43,342.87 × 19,477.67
  4. Step 4: Simplify right side
    31,406.39x = 844,218,178.38
  5. Step 5: Solve for x
    x = 844,218,178.38/31,406.39
  6. Step 6: Final answer
    x = 26,880.46

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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.