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Finding the Fourth Proportional to 51,955.76, 71,699.64 and 30,734.48

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Solution

The fourth proportional to 51,955.76, 71,699.64 and 30,734.48 is: 42,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,955.76 : 71,699.64 = 30,734.48 : x
  2. Step 2: Convert to fraction form
    51,955.76/71,699.64 = 30,734.48/x
  3. Step 3: Cross multiply
    51,955.76x = 71,699.64 × 30,734.48
  4. Step 4: Simplify right side
    51,955.76x = 2,203,651,151.59
  5. Step 5: Solve for x
    x = 2,203,651,151.59/51,955.76
  6. Step 6: Final answer
    x = 42,413.99

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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.