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Finding the Fourth Proportional to 37,690.32, 56,537.16 and 12,728.16

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Solution

The fourth proportional to 37,690.32, 56,537.16 and 12,728.16 is: 19,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690.32 : 56,537.16 = 12,728.16 : x
  2. Step 2: Convert to fraction form
    37,690.32/56,537.16 = 12,728.16/x
  3. Step 3: Cross multiply
    37,690.32x = 56,537.16 × 12,728.16
  4. Step 4: Simplify right side
    37,690.32x = 719,614,018.43
  5. Step 5: Solve for x
    x = 719,614,018.43/37,690.32
  6. Step 6: Final answer
    x = 19,092.81

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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.