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Finding the Fourth Proportional to 52,947, 73,066.86 and 30,591

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Solution

The fourth proportional to 52,947, 73,066.86 and 30,591 is: 42,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,947 : 73,066.86 = 30,591 : x
  2. Step 2: Convert to fraction form
    52,947/73,066.86 = 30,591/x
  3. Step 3: Cross multiply
    52,947x = 73,066.86 × 30,591
  4. Step 4: Simplify right side
    52,947x = 2,235,188,314.26
  5. Step 5: Solve for x
    x = 2,235,188,314.26/52,947
  6. Step 6: Final answer
    x = 42,215.58

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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.