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Finding the Fourth Proportional to 35,737.26, 49,319.65 and 20,632.68

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Solution

The fourth proportional to 35,737.26, 49,319.65 and 20,632.68 is: 28,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.26 : 49,319.65 = 20,632.68 : x
  2. Step 2: Convert to fraction form
    35,737.26/49,319.65 = 20,632.68/x
  3. Step 3: Cross multiply
    35,737.26x = 49,319.65 × 20,632.68
  4. Step 4: Simplify right side
    35,737.26x = 1,017,596,556.16
  5. Step 5: Solve for x
    x = 1,017,596,556.16/35,737.26
  6. Step 6: Final answer
    x = 28,474.39

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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.