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Finding the Fourth Proportional to 37,661.64, 56,453.03 and 12,693.06

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Solution

The fourth proportional to 37,661.64, 56,453.03 and 12,693.06 is: 19,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.64 : 56,453.03 = 12,693.06 : x
  2. Step 2: Convert to fraction form
    37,661.64/56,453.03 = 12,693.06/x
  3. Step 3: Cross multiply
    37,661.64x = 56,453.03 × 12,693.06
  4. Step 4: Simplify right side
    37,661.64x = 716,561,804.18
  5. Step 5: Solve for x
    x = 716,561,804.18/37,661.64
  6. Step 6: Final answer
    x = 19,026.30

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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.