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Finding the Fourth Proportional to 51,967.54, 71,715.86 and 31,543.70

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Solution

The fourth proportional to 51,967.54, 71,715.86 and 31,543.70 is: 43,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,967.54 : 71,715.86 = 31,543.70 : x
  2. Step 2: Convert to fraction form
    51,967.54/71,715.86 = 31,543.70/x
  3. Step 3: Cross multiply
    51,967.54x = 71,715.86 × 31,543.70
  4. Step 4: Simplify right side
    51,967.54x = 2,262,183,573.08
  5. Step 5: Solve for x
    x = 2,262,183,573.08/51,967.54
  6. Step 6: Final answer
    x = 43,530.70

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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.