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Finding the Fourth Proportional to 31,148.16, 46,722.24 and 7,774.56

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Solution

The fourth proportional to 31,148.16, 46,722.24 and 7,774.56 is: 11,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148.16 : 46,722.24 = 7,774.56 : x
  2. Step 2: Convert to fraction form
    31,148.16/46,722.24 = 7,774.56/x
  3. Step 3: Cross multiply
    31,148.16x = 46,722.24 × 7,774.56
  4. Step 4: Simplify right side
    31,148.16x = 363,244,858.21
  5. Step 5: Solve for x
    x = 363,244,858.21/31,148.16
  6. Step 6: Final answer
    x = 11,661.84

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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.