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Finding the Fourth Proportional to 53,188.86, 79,782.93 and 16,252.86

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Solution

The fourth proportional to 53,188.86, 79,782.93 and 16,252.86 is: 24,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,188.86 : 79,782.93 = 16,252.86 : x
  2. Step 2: Convert to fraction form
    53,188.86/79,782.93 = 16,252.86/x
  3. Step 3: Cross multiply
    53,188.86x = 79,782.93 × 16,252.86
  4. Step 4: Simplify right side
    53,188.86x = 1,296,700,791.68
  5. Step 5: Solve for x
    x = 1,296,700,791.68/53,188.86
  6. Step 6: Final answer
    x = 24,379.18

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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.