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Finding the Fourth Proportional to 37,122.48, 51,235.74 and 23,697.90

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Solution

The fourth proportional to 37,122.48, 51,235.74 and 23,697.90 is: 32,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122.48 : 51,235.74 = 23,697.90 : x
  2. Step 2: Convert to fraction form
    37,122.48/51,235.74 = 23,697.90/x
  3. Step 3: Cross multiply
    37,122.48x = 51,235.74 × 23,697.90
  4. Step 4: Simplify right side
    37,122.48x = 1,214,179,442.95
  5. Step 5: Solve for x
    x = 1,214,179,442.95/37,122.48
  6. Step 6: Final answer
    x = 32,707.39

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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.