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Finding the Fourth Proportional to 49,347.83, 68,106.50 and 28,122.23

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Solution

The fourth proportional to 49,347.83, 68,106.50 and 28,122.23 is: 38,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,347.83 : 68,106.50 = 28,122.23 : x
  2. Step 2: Convert to fraction form
    49,347.83/68,106.50 = 28,122.23/x
  3. Step 3: Cross multiply
    49,347.83x = 68,106.50 × 28,122.23
  4. Step 4: Simplify right side
    49,347.83x = 1,915,306,516.88
  5. Step 5: Solve for x
    x = 1,915,306,516.88/49,347.83
  6. Step 6: Final answer
    x = 38,812.38

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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.