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Finding the Fourth Proportional to 53,665.10, 80,503.16 and 14,222.22

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Solution

The fourth proportional to 53,665.10, 80,503.16 and 14,222.22 is: 21,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,665.10 : 80,503.16 = 14,222.22 : x
  2. Step 2: Convert to fraction form
    53,665.10/80,503.16 = 14,222.22/x
  3. Step 3: Cross multiply
    53,665.10x = 80,503.16 × 14,222.22
  4. Step 4: Simplify right side
    53,665.10x = 1,144,933,652.22
  5. Step 5: Solve for x
    x = 1,144,933,652.22/53,665.10
  6. Step 6: Final answer
    x = 21,334.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.