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Finding the Fourth Proportional to 37,647.67, 56,457.10 and 12,681

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Solution

The fourth proportional to 37,647.67, 56,457.10 and 12,681 is: 19,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647.67 : 56,457.10 = 12,681 : x
  2. Step 2: Convert to fraction form
    37,647.67/56,457.10 = 12,681/x
  3. Step 3: Cross multiply
    37,647.67x = 56,457.10 × 12,681
  4. Step 4: Simplify right side
    37,647.67x = 715,932,485.10
  5. Step 5: Solve for x
    x = 715,932,485.10/37,647.67
  6. Step 6: Final answer
    x = 19,016.65

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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.