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Finding the Fourth Proportional to 71,153.94, 106,785.96 and 26,821.02

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Solution

The fourth proportional to 71,153.94, 106,785.96 and 26,821.02 is: 40,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.94 : 106,785.96 = 26,821.02 : x
  2. Step 2: Convert to fraction form
    71,153.94/106,785.96 = 26,821.02/x
  3. Step 3: Cross multiply
    71,153.94x = 106,785.96 × 26,821.02
  4. Step 4: Simplify right side
    71,153.94x = 2,864,108,368.88
  5. Step 5: Solve for x
    x = 2,864,108,368.88/71,153.94
  6. Step 6: Final answer
    x = 40,252.28

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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.