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Finding the Fourth Proportional to 31,177.32, 46,765.92 and 7,803.72

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Solution

The fourth proportional to 31,177.32, 46,765.92 and 7,803.72 is: 11,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.32 : 46,765.92 = 7,803.72 : x
  2. Step 2: Convert to fraction form
    31,177.32/46,765.92 = 7,803.72/x
  3. Step 3: Cross multiply
    31,177.32x = 46,765.92 × 7,803.72
  4. Step 4: Simplify right side
    31,177.32x = 364,948,145.22
  5. Step 5: Solve for x
    x = 364,948,145.22/31,177.32
  6. Step 6: Final answer
    x = 11,705.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.