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Finding the Fourth Proportional to 51,585.54, 71,200.68 and 31,453.50

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Solution

The fourth proportional to 51,585.54, 71,200.68 and 31,453.50 is: 43,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,585.54 : 71,200.68 = 31,453.50 : x
  2. Step 2: Convert to fraction form
    51,585.54/71,200.68 = 31,453.50/x
  3. Step 3: Cross multiply
    51,585.54x = 71,200.68 × 31,453.50
  4. Step 4: Simplify right side
    51,585.54x = 2,239,510,588.38
  5. Step 5: Solve for x
    x = 2,239,510,588.38/51,585.54
  6. Step 6: Final answer
    x = 43,413.53

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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.