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Finding the Fourth Proportional to 35,706.16, 49,276.11 and 20,394.05

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Solution

The fourth proportional to 35,706.16, 49,276.11 and 20,394.05 is: 28,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.16 : 49,276.11 = 20,394.05 : x
  2. Step 2: Convert to fraction form
    35,706.16/49,276.11 = 20,394.05/x
  3. Step 3: Cross multiply
    35,706.16x = 49,276.11 × 20,394.05
  4. Step 4: Simplify right side
    35,706.16x = 1,004,939,204.76
  5. Step 5: Solve for x
    x = 1,004,939,204.76/35,706.16
  6. Step 6: Final answer
    x = 28,144.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.