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Finding the Fourth Proportional to 49,280.88, 68,022 and 28,071.84

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Solution

The fourth proportional to 49,280.88, 68,022 and 28,071.84 is: 38,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,280.88 : 68,022 = 28,071.84 : x
  2. Step 2: Convert to fraction form
    49,280.88/68,022 = 28,071.84/x
  3. Step 3: Cross multiply
    49,280.88x = 68,022 × 28,071.84
  4. Step 4: Simplify right side
    49,280.88x = 1,909,502,700.48
  5. Step 5: Solve for x
    x = 1,909,502,700.48/49,280.88
  6. Step 6: Final answer
    x = 38,747.33

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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.