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Finding the Fourth Proportional to 31,262.25, 46,900.84 and 10,202.33

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Solution

The fourth proportional to 31,262.25, 46,900.84 and 10,202.33 is: 15,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.25 : 46,900.84 = 10,202.33 : x
  2. Step 2: Convert to fraction form
    31,262.25/46,900.84 = 10,202.33/x
  3. Step 3: Cross multiply
    31,262.25x = 46,900.84 × 10,202.33
  4. Step 4: Simplify right side
    31,262.25x = 478,497,795.95
  5. Step 5: Solve for x
    x = 478,497,795.95/31,262.25
  6. Step 6: Final answer
    x = 15,305.93

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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.