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Finding the Fourth Proportional to 37,638.50, 56,457.75 and 13,014.50

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Solution

The fourth proportional to 37,638.50, 56,457.75 and 13,014.50 is: 19,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638.50 : 56,457.75 = 13,014.50 : x
  2. Step 2: Convert to fraction form
    37,638.50/56,457.75 = 13,014.50/x
  3. Step 3: Cross multiply
    37,638.50x = 56,457.75 × 13,014.50
  4. Step 4: Simplify right side
    37,638.50x = 734,769,387.38
  5. Step 5: Solve for x
    x = 734,769,387.38/37,638.50
  6. Step 6: Final answer
    x = 19,521.75

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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.