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Finding the Fourth Proportional to 31,304.37, 46,956.56 and 9,119.48

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Solution

The fourth proportional to 31,304.37, 46,956.56 and 9,119.48 is: 13,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.37 : 46,956.56 = 9,119.48 : x
  2. Step 2: Convert to fraction form
    31,304.37/46,956.56 = 9,119.48/x
  3. Step 3: Cross multiply
    31,304.37x = 46,956.56 × 9,119.48
  4. Step 4: Simplify right side
    31,304.37x = 428,219,129.41
  5. Step 5: Solve for x
    x = 428,219,129.41/31,304.37
  6. Step 6: Final answer
    x = 13,679.21

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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.