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Finding the Fourth Proportional to 49,550, 68,362.46 and 28,036.76

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Solution

The fourth proportional to 49,550, 68,362.46 and 28,036.76 is: 38,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,550 : 68,362.46 = 28,036.76 : x
  2. Step 2: Convert to fraction form
    49,550/68,362.46 = 28,036.76/x
  3. Step 3: Cross multiply
    49,550x = 68,362.46 × 28,036.76
  4. Step 4: Simplify right side
    49,550x = 1,916,661,884.03
  5. Step 5: Solve for x
    x = 1,916,661,884.03/49,550
  6. Step 6: Final answer
    x = 38,681.37

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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.