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Finding the Fourth Proportional to 37,305, 55,957.50 and 11,009.37

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Solution

The fourth proportional to 37,305, 55,957.50 and 11,009.37 is: 16,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,305 : 55,957.50 = 11,009.37 : x
  2. Step 2: Convert to fraction form
    37,305/55,957.50 = 11,009.37/x
  3. Step 3: Cross multiply
    37,305x = 55,957.50 × 11,009.37
  4. Step 4: Simplify right side
    37,305x = 616,056,821.78
  5. Step 5: Solve for x
    x = 616,056,821.78/37,305
  6. Step 6: Final answer
    x = 16,514.06

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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.