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Finding the Fourth Proportional to 71,219.51, 106,753.94 and 26,827.06

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Solution

The fourth proportional to 71,219.51, 106,753.94 and 26,827.06 is: 40,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,219.51 : 106,753.94 = 26,827.06 : x
  2. Step 2: Convert to fraction form
    71,219.51/106,753.94 = 26,827.06/x
  3. Step 3: Cross multiply
    71,219.51x = 106,753.94 × 26,827.06
  4. Step 4: Simplify right side
    71,219.51x = 2,863,893,685.71
  5. Step 5: Solve for x
    x = 2,863,893,685.71/71,219.51
  6. Step 6: Final answer
    x = 40,212.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.