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Finding the Fourth Proportional to 37,464.48, 56,190.24 and 12,840.48

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Solution

The fourth proportional to 37,464.48, 56,190.24 and 12,840.48 is: 19,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.48 : 56,190.24 = 12,840.48 : x
  2. Step 2: Convert to fraction form
    37,464.48/56,190.24 = 12,840.48/x
  3. Step 3: Cross multiply
    37,464.48x = 56,190.24 × 12,840.48
  4. Step 4: Simplify right side
    37,464.48x = 721,509,652.92
  5. Step 5: Solve for x
    x = 721,509,652.92/37,464.48
  6. Step 6: Final answer
    x = 19,258.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.