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Finding the Fourth Proportional to 37,430.76, 56,134.02 and 12,464.12

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Solution

The fourth proportional to 37,430.76, 56,134.02 and 12,464.12 is: 18,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,430.76 : 56,134.02 = 12,464.12 : x
  2. Step 2: Convert to fraction form
    37,430.76/56,134.02 = 12,464.12/x
  3. Step 3: Cross multiply
    37,430.76x = 56,134.02 × 12,464.12
  4. Step 4: Simplify right side
    37,430.76x = 699,661,161.36
  5. Step 5: Solve for x
    x = 699,661,161.36/37,430.76
  6. Step 6: Final answer
    x = 18,692.14

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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.