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Finding the Fourth Proportional to 96,314.32, 144,478.92 and 29,754.16

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Solution

The fourth proportional to 96,314.32, 144,478.92 and 29,754.16 is: 44,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314.32 : 144,478.92 = 29,754.16 : x
  2. Step 2: Convert to fraction form
    96,314.32/144,478.92 = 29,754.16/x
  3. Step 3: Cross multiply
    96,314.32x = 144,478.92 × 29,754.16
  4. Step 4: Simplify right side
    96,314.32x = 4,298,848,902.31
  5. Step 5: Solve for x
    x = 4,298,848,902.31/96,314.32
  6. Step 6: Final answer
    x = 44,633.54

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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.