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Finding the Fourth Proportional to 46,952.87, 70,452.05 and 20,654.19

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Solution

The fourth proportional to 46,952.87, 70,452.05 and 20,654.19 is: 30,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.87 : 70,452.05 = 20,654.19 : x
  2. Step 2: Convert to fraction form
    46,952.87/70,452.05 = 20,654.19/x
  3. Step 3: Cross multiply
    46,952.87x = 70,452.05 × 20,654.19
  4. Step 4: Simplify right side
    46,952.87x = 1,455,129,923.32
  5. Step 5: Solve for x
    x = 1,455,129,923.32/46,952.87
  6. Step 6: Final answer
    x = 30,991.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.