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Finding the Fourth Proportional to 57,047.76, 85,572 and 37,342.86

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Solution

The fourth proportional to 57,047.76, 85,572 and 37,342.86 is: 56,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047.76 : 85,572 = 37,342.86 : x
  2. Step 2: Convert to fraction form
    57,047.76/85,572 = 37,342.86/x
  3. Step 3: Cross multiply
    57,047.76x = 85,572 × 37,342.86
  4. Step 4: Simplify right side
    57,047.76x = 3,195,503,215.92
  5. Step 5: Solve for x
    x = 3,195,503,215.92/57,047.76
  6. Step 6: Final answer
    x = 56,014.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.