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Finding the Fourth Proportional to 51,557.81, 71,143.45 and 31,407.37

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Solution

The fourth proportional to 51,557.81, 71,143.45 and 31,407.37 is: 43,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,557.81 : 71,143.45 = 31,407.37 : x
  2. Step 2: Convert to fraction form
    51,557.81/71,143.45 = 31,407.37/x
  3. Step 3: Cross multiply
    51,557.81x = 71,143.45 × 31,407.37
  4. Step 4: Simplify right side
    51,557.81x = 2,234,428,400.85
  5. Step 5: Solve for x
    x = 2,234,428,400.85/51,557.81
  6. Step 6: Final answer
    x = 43,338.32

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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.