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Finding the Fourth Proportional to 52,161.84, 72,021.60 and 32,046.48

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Solution

The fourth proportional to 52,161.84, 72,021.60 and 32,046.48 is: 44,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,161.84 : 72,021.60 = 32,046.48 : x
  2. Step 2: Convert to fraction form
    52,161.84/72,021.60 = 32,046.48/x
  3. Step 3: Cross multiply
    52,161.84x = 72,021.60 × 32,046.48
  4. Step 4: Simplify right side
    52,161.84x = 2,308,038,763.97
  5. Step 5: Solve for x
    x = 2,308,038,763.97/52,161.84
  6. Step 6: Final answer
    x = 44,247.65

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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.