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Finding the Fourth Proportional to 49,346.96, 68,097.10 and 28,133.08

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Solution

The fourth proportional to 49,346.96, 68,097.10 and 28,133.08 is: 38,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.96 : 68,097.10 = 28,133.08 : x
  2. Step 2: Convert to fraction form
    49,346.96/68,097.10 = 28,133.08/x
  3. Step 3: Cross multiply
    49,346.96x = 68,097.10 × 28,133.08
  4. Step 4: Simplify right side
    49,346.96x = 1,915,781,162.07
  5. Step 5: Solve for x
    x = 1,915,781,162.07/49,346.96
  6. Step 6: Final answer
    x = 38,822.68

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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.