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Finding the Fourth Proportional to 31,331.84, 43,226.88 and 19,228.16

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Solution

The fourth proportional to 31,331.84, 43,226.88 and 19,228.16 is: 26,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.84 : 43,226.88 = 19,228.16 : x
  2. Step 2: Convert to fraction form
    31,331.84/43,226.88 = 19,228.16/x
  3. Step 3: Cross multiply
    31,331.84x = 43,226.88 × 19,228.16
  4. Step 4: Simplify right side
    31,331.84x = 831,173,364.94
  5. Step 5: Solve for x
    x = 831,173,364.94/31,331.84
  6. Step 6: Final answer
    x = 26,528.07

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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.