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Finding the Fourth Proportional to 74,050.86, 111,076.17 and 18,646.86

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Solution

The fourth proportional to 74,050.86, 111,076.17 and 18,646.86 is: 27,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,050.86 : 111,076.17 = 18,646.86 : x
  2. Step 2: Convert to fraction form
    74,050.86/111,076.17 = 18,646.86/x
  3. Step 3: Cross multiply
    74,050.86x = 111,076.17 × 18,646.86
  4. Step 4: Simplify right side
    74,050.86x = 2,071,221,791.33
  5. Step 5: Solve for x
    x = 2,071,221,791.33/74,050.86
  6. Step 6: Final answer
    x = 27,970.26

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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.