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Finding the Fourth Proportional to 38,929.50, 53,722.77 and 22,162.50

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Solution

The fourth proportional to 38,929.50, 53,722.77 and 22,162.50 is: 30,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,929.50 : 53,722.77 = 22,162.50 : x
  2. Step 2: Convert to fraction form
    38,929.50/53,722.77 = 22,162.50/x
  3. Step 3: Cross multiply
    38,929.50x = 53,722.77 × 22,162.50
  4. Step 4: Simplify right side
    38,929.50x = 1,190,630,890.13
  5. Step 5: Solve for x
    x = 1,190,630,890.13/38,929.50
  6. Step 6: Final answer
    x = 30,584.28

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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.