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Finding the Fourth Proportional to 37,420.98, 51,591.33 and 31,023.42

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Solution

The fourth proportional to 37,420.98, 51,591.33 and 31,023.42 is: 42,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,420.98 : 51,591.33 = 31,023.42 : x
  2. Step 2: Convert to fraction form
    37,420.98/51,591.33 = 31,023.42/x
  3. Step 3: Cross multiply
    37,420.98x = 51,591.33 × 31,023.42
  4. Step 4: Simplify right side
    37,420.98x = 1,600,539,498.95
  5. Step 5: Solve for x
    x = 1,600,539,498.95/37,420.98
  6. Step 6: Final answer
    x = 42,771.18

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