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Finding the Fourth Proportional to 37,941.34, 56,913.65 and 11,647.12

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Solution

The fourth proportional to 37,941.34, 56,913.65 and 11,647.12 is: 17,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,941.34 : 56,913.65 = 11,647.12 : x
  2. Step 2: Convert to fraction form
    37,941.34/56,913.65 = 11,647.12/x
  3. Step 3: Cross multiply
    37,941.34x = 56,913.65 × 11,647.12
  4. Step 4: Simplify right side
    37,941.34x = 662,879,768.38
  5. Step 5: Solve for x
    x = 662,879,768.38/37,941.34
  6. Step 6: Final answer
    x = 17,471.18

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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.