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Finding the Fourth Proportional to 53,832, 80,822.24 and 37,152.48

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Solution

The fourth proportional to 53,832, 80,822.24 and 37,152.48 is: 55,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832 : 80,822.24 = 37,152.48 : x
  2. Step 2: Convert to fraction form
    53,832/80,822.24 = 37,152.48/x
  3. Step 3: Cross multiply
    53,832x = 80,822.24 × 37,152.48
  4. Step 4: Simplify right side
    53,832x = 3,002,746,655.16
  5. Step 5: Solve for x
    x = 3,002,746,655.16/53,832
  6. Step 6: Final answer
    x = 55,779.96

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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.