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Finding the Fourth Proportional to 31,304.32, 46,956.48 and 7,930.88

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Solution

The fourth proportional to 31,304.32, 46,956.48 and 7,930.88 is: 11,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.32 : 46,956.48 = 7,930.88 : x
  2. Step 2: Convert to fraction form
    31,304.32/46,956.48 = 7,930.88/x
  3. Step 3: Cross multiply
    31,304.32x = 46,956.48 × 7,930.88
  4. Step 4: Simplify right side
    31,304.32x = 372,406,208.10
  5. Step 5: Solve for x
    x = 372,406,208.10/31,304.32
  6. Step 6: Final answer
    x = 11,896.32

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