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Finding the Fourth Proportional to 31,304.16, 46,956.32 and 7,932.48

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Solution

The fourth proportional to 31,304.16, 46,956.32 and 7,932.48 is: 11,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.16 : 46,956.32 = 7,932.48 : x
  2. Step 2: Convert to fraction form
    31,304.16/46,956.32 = 7,932.48/x
  3. Step 3: Cross multiply
    31,304.16x = 46,956.32 × 7,932.48
  4. Step 4: Simplify right side
    31,304.16x = 372,480,069.27
  5. Step 5: Solve for x
    x = 372,480,069.27/31,304.16
  6. Step 6: Final answer
    x = 11,898.74

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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.