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Finding the Fourth Proportional to 27,202.34, 40,770.69 and 14,047.52

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Solution

The fourth proportional to 27,202.34, 40,770.69 and 14,047.52 is: 21,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.34 : 40,770.69 = 14,047.52 : x
  2. Step 2: Convert to fraction form
    27,202.34/40,770.69 = 14,047.52/x
  3. Step 3: Cross multiply
    27,202.34x = 40,770.69 × 14,047.52
  4. Step 4: Simplify right side
    27,202.34x = 572,727,083.19
  5. Step 5: Solve for x
    x = 572,727,083.19/27,202.34
  6. Step 6: Final answer
    x = 21,054.33

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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.