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Finding the Fourth Proportional to 37,835.86, 52,214.87 and 23,503.59

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Solution

The fourth proportional to 37,835.86, 52,214.87 and 23,503.59 is: 32,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,835.86 : 52,214.87 = 23,503.59 : x
  2. Step 2: Convert to fraction form
    37,835.86/52,214.87 = 23,503.59/x
  3. Step 3: Cross multiply
    37,835.86x = 52,214.87 × 23,503.59
  4. Step 4: Simplify right side
    37,835.86x = 1,227,236,896.38
  5. Step 5: Solve for x
    x = 1,227,236,896.38/37,835.86
  6. Step 6: Final answer
    x = 32,435.81

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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.