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Finding the Fourth Proportional to 31,011.96, 42,811.20 and 19,840.44

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Solution

The fourth proportional to 31,011.96, 42,811.20 and 19,840.44 is: 27,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.96 : 42,811.20 = 19,840.44 : x
  2. Step 2: Convert to fraction form
    31,011.96/42,811.20 = 19,840.44/x
  3. Step 3: Cross multiply
    31,011.96x = 42,811.20 × 19,840.44
  4. Step 4: Simplify right side
    31,011.96x = 849,393,044.93
  5. Step 5: Solve for x
    x = 849,393,044.93/31,011.96
  6. Step 6: Final answer
    x = 27,389.21

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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.