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Finding the Fourth Proportional to 31,578.72, 47,376.36 and 9,392.28

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Solution

The fourth proportional to 31,578.72, 47,376.36 and 9,392.28 is: 14,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.72 : 47,376.36 = 9,392.28 : x
  2. Step 2: Convert to fraction form
    31,578.72/47,376.36 = 9,392.28/x
  3. Step 3: Cross multiply
    31,578.72x = 47,376.36 × 9,392.28
  4. Step 4: Simplify right side
    31,578.72x = 444,972,038.50
  5. Step 5: Solve for x
    x = 444,972,038.50/31,578.72
  6. Step 6: Final answer
    x = 14,090.88

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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.