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Finding the Fourth Proportional to 52,157.78, 71,972.44 and 32,015.51

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Solution

The fourth proportional to 52,157.78, 71,972.44 and 32,015.51 is: 44,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157.78 : 71,972.44 = 32,015.51 : x
  2. Step 2: Convert to fraction form
    52,157.78/71,972.44 = 32,015.51/x
  3. Step 3: Cross multiply
    52,157.78x = 71,972.44 × 32,015.51
  4. Step 4: Simplify right side
    52,157.78x = 2,304,233,932.64
  5. Step 5: Solve for x
    x = 2,304,233,932.64/52,157.78
  6. Step 6: Final answer
    x = 44,178.15

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1.5x scale

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.