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Finding the Fourth Proportional to 63,193.86, 94,784.49 and 16,446.74

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Solution

The fourth proportional to 63,193.86, 94,784.49 and 16,446.74 is: 24,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,193.86 : 94,784.49 = 16,446.74 : x
  2. Step 2: Convert to fraction form
    63,193.86/94,784.49 = 16,446.74/x
  3. Step 3: Cross multiply
    63,193.86x = 94,784.49 × 16,446.74
  4. Step 4: Simplify right side
    63,193.86x = 1,558,895,389.14
  5. Step 5: Solve for x
    x = 1,558,895,389.14/63,193.86
  6. Step 6: Final answer
    x = 24,668.46

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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.