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Finding the Fourth Proportional to 37,375.32, 56,073.06 and 12,419.40

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Solution

The fourth proportional to 37,375.32, 56,073.06 and 12,419.40 is: 18,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,375.32 : 56,073.06 = 12,419.40 : x
  2. Step 2: Convert to fraction form
    37,375.32/56,073.06 = 12,419.40/x
  3. Step 3: Cross multiply
    37,375.32x = 56,073.06 × 12,419.40
  4. Step 4: Simplify right side
    37,375.32x = 696,393,761.36
  5. Step 5: Solve for x
    x = 696,393,761.36/37,375.32
  6. Step 6: Final answer
    x = 18,632.45

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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.