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Finding the Fourth Proportional to 37,597.77, 51,766.83 and 31,920.66

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Solution

The fourth proportional to 37,597.77, 51,766.83 and 31,920.66 is: 43,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597.77 : 51,766.83 = 31,920.66 : x
  2. Step 2: Convert to fraction form
    37,597.77/51,766.83 = 31,920.66/x
  3. Step 3: Cross multiply
    37,597.77x = 51,766.83 × 31,920.66
  4. Step 4: Simplify right side
    37,597.77x = 1,652,431,379.71
  5. Step 5: Solve for x
    x = 1,652,431,379.71/37,597.77
  6. Step 6: Final answer
    x = 43,950.25

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1.5x scale

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.