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Finding the Fourth Proportional to 27,202.84, 40,771.44 and 14,048.02

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Solution

The fourth proportional to 27,202.84, 40,771.44 and 14,048.02 is: 21,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.84 : 40,771.44 = 14,048.02 : x
  2. Step 2: Convert to fraction form
    27,202.84/40,771.44 = 14,048.02/x
  3. Step 3: Cross multiply
    27,202.84x = 40,771.44 × 14,048.02
  4. Step 4: Simplify right side
    27,202.84x = 572,758,004.55
  5. Step 5: Solve for x
    x = 572,758,004.55/27,202.84
  6. Step 6: Final answer
    x = 21,055.08

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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.