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Finding the Fourth Proportional to 37,464.49, 56,184.37 and 12,497.66

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Solution

The fourth proportional to 37,464.49, 56,184.37 and 12,497.66 is: 18,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.49 : 56,184.37 = 12,497.66 : x
  2. Step 2: Convert to fraction form
    37,464.49/56,184.37 = 12,497.66/x
  3. Step 3: Cross multiply
    37,464.49x = 56,184.37 × 12,497.66
  4. Step 4: Simplify right side
    37,464.49x = 702,173,153.57
  5. Step 5: Solve for x
    x = 702,173,153.57/37,464.49
  6. Step 6: Final answer
    x = 18,742.37

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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.