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Finding the Fourth Proportional to 38,420.50, 53,020.45 and 21,424.69

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Solution

The fourth proportional to 38,420.50, 53,020.45 and 21,424.69 is: 29,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.50 : 53,020.45 = 21,424.69 : x
  2. Step 2: Convert to fraction form
    38,420.50/53,020.45 = 21,424.69/x
  3. Step 3: Cross multiply
    38,420.50x = 53,020.45 × 21,424.69
  4. Step 4: Simplify right side
    38,420.50x = 1,135,946,704.91
  5. Step 5: Solve for x
    x = 1,135,946,704.91/38,420.50
  6. Step 6: Final answer
    x = 29,566.16

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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.