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Finding the Fourth Proportional to 37,416, 56,041.60 and 30,930.96

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Solution

The fourth proportional to 37,416, 56,041.60 and 30,930.96 is: 46,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,416 : 56,041.60 = 30,930.96 : x
  2. Step 2: Convert to fraction form
    37,416/56,041.60 = 30,930.96/x
  3. Step 3: Cross multiply
    37,416x = 56,041.60 × 30,930.96
  4. Step 4: Simplify right side
    37,416x = 1,733,420,487.94
  5. Step 5: Solve for x
    x = 1,733,420,487.94/37,416
  6. Step 6: Final answer
    x = 46,328.32

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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.