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Finding the Fourth Proportional to 37,645.20, 56,459.70 and 16,585.20

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Solution

The fourth proportional to 37,645.20, 56,459.70 and 16,585.20 is: 24,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,645.20 : 56,459.70 = 16,585.20 : x
  2. Step 2: Convert to fraction form
    37,645.20/56,459.70 = 16,585.20/x
  3. Step 3: Cross multiply
    37,645.20x = 56,459.70 × 16,585.20
  4. Step 4: Simplify right side
    37,645.20x = 936,395,416.44
  5. Step 5: Solve for x
    x = 936,395,416.44/37,645.20
  6. Step 6: Final answer
    x = 24,874.23

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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.