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Finding the Fourth Proportional to 27,473.40, 41,210.10 and 10,827.90

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Solution

The fourth proportional to 27,473.40, 41,210.10 and 10,827.90 is: 16,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473.40 : 41,210.10 = 10,827.90 : x
  2. Step 2: Convert to fraction form
    27,473.40/41,210.10 = 10,827.90/x
  3. Step 3: Cross multiply
    27,473.40x = 41,210.10 × 10,827.90
  4. Step 4: Simplify right side
    27,473.40x = 446,218,841.79
  5. Step 5: Solve for x
    x = 446,218,841.79/27,473.40
  6. Step 6: Final answer
    x = 16,241.85

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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.