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Finding the Fourth Proportional to 53,662.98, 80,485.29 and 14,224.08

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Solution

The fourth proportional to 53,662.98, 80,485.29 and 14,224.08 is: 21,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662.98 : 80,485.29 = 14,224.08 : x
  2. Step 2: Convert to fraction form
    53,662.98/80,485.29 = 14,224.08/x
  3. Step 3: Cross multiply
    53,662.98x = 80,485.29 × 14,224.08
  4. Step 4: Simplify right side
    53,662.98x = 1,144,829,203.78
  5. Step 5: Solve for x
    x = 1,144,829,203.78/53,662.98
  6. Step 6: Final answer
    x = 21,333.69

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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.