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Finding the Fourth Proportional to 31,202.24, 46,796.46 and 9,010.80

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Solution

The fourth proportional to 31,202.24, 46,796.46 and 9,010.80 is: 13,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.24 : 46,796.46 = 9,010.80 : x
  2. Step 2: Convert to fraction form
    31,202.24/46,796.46 = 9,010.80/x
  3. Step 3: Cross multiply
    31,202.24x = 46,796.46 × 9,010.80
  4. Step 4: Simplify right side
    31,202.24x = 421,673,541.77
  5. Step 5: Solve for x
    x = 421,673,541.77/31,202.24
  6. Step 6: Final answer
    x = 13,514.21

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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.