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Finding the Fourth Proportional to 53,266.86, 79,912.80 and 15,827.22

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Solution

The fourth proportional to 53,266.86, 79,912.80 and 15,827.22 is: 23,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,266.86 : 79,912.80 = 15,827.22 : x
  2. Step 2: Convert to fraction form
    53,266.86/79,912.80 = 15,827.22/x
  3. Step 3: Cross multiply
    53,266.86x = 79,912.80 × 15,827.22
  4. Step 4: Simplify right side
    53,266.86x = 1,264,797,466.42
  5. Step 5: Solve for x
    x = 1,264,797,466.42/53,266.86
  6. Step 6: Final answer
    x = 23,744.55

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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.