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Finding the Fourth Proportional to 53,643.48, 80,472.73 and 16,199.30

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Solution

The fourth proportional to 53,643.48, 80,472.73 and 16,199.30 is: 24,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.48 : 80,472.73 = 16,199.30 : x
  2. Step 2: Convert to fraction form
    53,643.48/80,472.73 = 16,199.30/x
  3. Step 3: Cross multiply
    53,643.48x = 80,472.73 × 16,199.30
  4. Step 4: Simplify right side
    53,643.48x = 1,303,601,895.09
  5. Step 5: Solve for x
    x = 1,303,601,895.09/53,643.48
  6. Step 6: Final answer
    x = 24,301.22

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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.