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Finding the Fourth Proportional to 49,978.08, 74,999.52 and 23,712.48

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Solution

The fourth proportional to 49,978.08, 74,999.52 and 23,712.48 is: 35,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.08 : 74,999.52 = 23,712.48 : x
  2. Step 2: Convert to fraction form
    49,978.08/74,999.52 = 23,712.48/x
  3. Step 3: Cross multiply
    49,978.08x = 74,999.52 × 23,712.48
  4. Step 4: Simplify right side
    49,978.08x = 1,778,424,618.01
  5. Step 5: Solve for x
    x = 1,778,424,618.01/49,978.08
  6. Step 6: Final answer
    x = 35,584.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.