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Finding the Fourth Proportional to 37,682.63, 52,002.23 and 23,543.67

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Solution

The fourth proportional to 37,682.63, 52,002.23 and 23,543.67 is: 32,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.63 : 52,002.23 = 23,543.67 : x
  2. Step 2: Convert to fraction form
    37,682.63/52,002.23 = 23,543.67/x
  3. Step 3: Cross multiply
    37,682.63x = 52,002.23 × 23,543.67
  4. Step 4: Simplify right side
    37,682.63x = 1,224,323,224.67
  5. Step 5: Solve for x
    x = 1,224,323,224.67/37,682.63
  6. Step 6: Final answer
    x = 32,490.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.