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Finding the Fourth Proportional to 53,632.86, 74,015.33 and 32,408.03

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Solution

The fourth proportional to 53,632.86, 74,015.33 and 32,408.03 is: 44,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,632.86 : 74,015.33 = 32,408.03 : x
  2. Step 2: Convert to fraction form
    53,632.86/74,015.33 = 32,408.03/x
  3. Step 3: Cross multiply
    53,632.86x = 74,015.33 × 32,408.03
  4. Step 4: Simplify right side
    53,632.86x = 2,398,690,502.98
  5. Step 5: Solve for x
    x = 2,398,690,502.98/53,632.86
  6. Step 6: Final answer
    x = 44,724.27

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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.