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Finding the Fourth Proportional to 31,115, 42,923.90 and 21,046.96

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Solution

The fourth proportional to 31,115, 42,923.90 and 21,046.96 is: 29,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115 : 42,923.90 = 21,046.96 : x
  2. Step 2: Convert to fraction form
    31,115/42,923.90 = 21,046.96/x
  3. Step 3: Cross multiply
    31,115x = 42,923.90 × 21,046.96
  4. Step 4: Simplify right side
    31,115x = 903,417,606.34
  5. Step 5: Solve for x
    x = 903,417,606.34/31,115
  6. Step 6: Final answer
    x = 29,034.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.