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Finding the Fourth Proportional to 37,642.64, 56,443.76 and 12,674.36

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Solution

The fourth proportional to 37,642.64, 56,443.76 and 12,674.36 is: 19,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.64 : 56,443.76 = 12,674.36 : x
  2. Step 2: Convert to fraction form
    37,642.64/56,443.76 = 12,674.36/x
  3. Step 3: Cross multiply
    37,642.64x = 56,443.76 × 12,674.36
  4. Step 4: Simplify right side
    37,642.64x = 715,388,533.99
  5. Step 5: Solve for x
    x = 715,388,533.99/37,642.64
  6. Step 6: Final answer
    x = 19,004.74

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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.