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Finding the Fourth Proportional to 37,597.41, 51,766.06 and 31,920.93

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Solution

The fourth proportional to 37,597.41, 51,766.06 and 31,920.93 is: 43,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597.41 : 51,766.06 = 31,920.93 : x
  2. Step 2: Convert to fraction form
    37,597.41/51,766.06 = 31,920.93/x
  3. Step 3: Cross multiply
    37,597.41x = 51,766.06 × 31,920.93
  4. Step 4: Simplify right side
    37,597.41x = 1,652,420,777.64
  5. Step 5: Solve for x
    x = 1,652,420,777.64/37,597.41
  6. Step 6: Final answer
    x = 43,950.39

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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.