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Finding the Fourth Proportional to 51,685.37, 71,336.92 and 31,537.93

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Solution

The fourth proportional to 51,685.37, 71,336.92 and 31,537.93 is: 43,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,685.37 : 71,336.92 = 31,537.93 : x
  2. Step 2: Convert to fraction form
    51,685.37/71,336.92 = 31,537.93/x
  3. Step 3: Cross multiply
    51,685.37x = 71,336.92 × 31,537.93
  4. Step 4: Simplify right side
    51,685.37x = 2,249,818,789.38
  5. Step 5: Solve for x
    x = 2,249,818,789.38/51,685.37
  6. Step 6: Final answer
    x = 43,529.13

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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.