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Finding the Fourth Proportional to 49,300.40, 68,019 and 28,078.40

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Solution

The fourth proportional to 49,300.40, 68,019 and 28,078.40 is: 38,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,300.40 : 68,019 = 28,078.40 : x
  2. Step 2: Convert to fraction form
    49,300.40/68,019 = 28,078.40/x
  3. Step 3: Cross multiply
    49,300.40x = 68,019 × 28,078.40
  4. Step 4: Simplify right side
    49,300.40x = 1,909,864,689.60
  5. Step 5: Solve for x
    x = 1,909,864,689.60/49,300.40
  6. Step 6: Final answer
    x = 38,739.33

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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.