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Finding the Fourth Proportional to 52,007.76, 71,770.62 and 28,134.36

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Solution

The fourth proportional to 52,007.76, 71,770.62 and 28,134.36 is: 38,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.76 : 71,770.62 = 28,134.36 : x
  2. Step 2: Convert to fraction form
    52,007.76/71,770.62 = 28,134.36/x
  3. Step 3: Cross multiply
    52,007.76x = 71,770.62 × 28,134.36
  4. Step 4: Simplify right side
    52,007.76x = 2,019,220,460.50
  5. Step 5: Solve for x
    x = 2,019,220,460.50/52,007.76
  6. Step 6: Final answer
    x = 38,825.37

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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.