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Finding the Fourth Proportional to 96,236.48, 132,804 and 53,800

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Solution

The fourth proportional to 96,236.48, 132,804 and 53,800 is: 74,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,236.48 : 132,804 = 53,800 : x
  2. Step 2: Convert to fraction form
    96,236.48/132,804 = 53,800/x
  3. Step 3: Cross multiply
    96,236.48x = 132,804 × 53,800
  4. Step 4: Simplify right side
    96,236.48x = 7,144,855,200
  5. Step 5: Solve for x
    x = 7,144,855,200/96,236.48
  6. Step 6: Final answer
    x = 74,242.69

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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.