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Finding the Fourth Proportional to 39,023.96, 53,853.12 and 21,119

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Solution

The fourth proportional to 39,023.96, 53,853.12 and 21,119 is: 29,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,023.96 : 53,853.12 = 21,119 : x
  2. Step 2: Convert to fraction form
    39,023.96/53,853.12 = 21,119/x
  3. Step 3: Cross multiply
    39,023.96x = 53,853.12 × 21,119
  4. Step 4: Simplify right side
    39,023.96x = 1,137,324,041.28
  5. Step 5: Solve for x
    x = 1,137,324,041.28/39,023.96
  6. Step 6: Final answer
    x = 29,144.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.