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Finding the Fourth Proportional to 37,728.20, 56,592.30 and 9,648.32

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Solution

The fourth proportional to 37,728.20, 56,592.30 and 9,648.32 is: 14,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.20 : 56,592.30 = 9,648.32 : x
  2. Step 2: Convert to fraction form
    37,728.20/56,592.30 = 9,648.32/x
  3. Step 3: Cross multiply
    37,728.20x = 56,592.30 × 9,648.32
  4. Step 4: Simplify right side
    37,728.20x = 546,020,619.94
  5. Step 5: Solve for x
    x = 546,020,619.94/37,728.20
  6. Step 6: Final answer
    x = 14,472.48

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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.