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Finding the Fourth Proportional to 77,257.31, 115,960.70 and 37,304.31

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Solution

The fourth proportional to 77,257.31, 115,960.70 and 37,304.31 is: 55,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,257.31 : 115,960.70 = 37,304.31 : x
  2. Step 2: Convert to fraction form
    77,257.31/115,960.70 = 37,304.31/x
  3. Step 3: Cross multiply
    77,257.31x = 115,960.70 × 37,304.31
  4. Step 4: Simplify right side
    77,257.31x = 4,325,833,993.88
  5. Step 5: Solve for x
    x = 4,325,833,993.88/77,257.31
  6. Step 6: Final answer
    x = 55,992.55

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1.5x scale

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.