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Finding the Fourth Proportional to 31,122.72, 46,618.42 and 21,133.59

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Solution

The fourth proportional to 31,122.72, 46,618.42 and 21,133.59 is: 31,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.72 : 46,618.42 = 21,133.59 : x
  2. Step 2: Convert to fraction form
    31,122.72/46,618.42 = 21,133.59/x
  3. Step 3: Cross multiply
    31,122.72x = 46,618.42 × 21,133.59
  4. Step 4: Simplify right side
    31,122.72x = 985,214,574.73
  5. Step 5: Solve for x
    x = 985,214,574.73/31,122.72
  6. Step 6: Final answer
    x = 31,655.80

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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.