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Finding the Fourth Proportional to 37,814, 56,707.75 and 11,152.91

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Solution

The fourth proportional to 37,814, 56,707.75 and 11,152.91 is: 16,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814 : 56,707.75 = 11,152.91 : x
  2. Step 2: Convert to fraction form
    37,814/56,707.75 = 11,152.91/x
  3. Step 3: Cross multiply
    37,814x = 56,707.75 × 11,152.91
  4. Step 4: Simplify right side
    37,814x = 632,456,432.05
  5. Step 5: Solve for x
    x = 632,456,432.05/37,814
  6. Step 6: Final answer
    x = 16,725.46

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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.