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Finding the Fourth Proportional to 96,574.75, 144,862.16 and 29,997

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Solution

The fourth proportional to 96,574.75, 144,862.16 and 29,997 is: 44,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,574.75 : 144,862.16 = 29,997 : x
  2. Step 2: Convert to fraction form
    96,574.75/144,862.16 = 29,997/x
  3. Step 3: Cross multiply
    96,574.75x = 144,862.16 × 29,997
  4. Step 4: Simplify right side
    96,574.75x = 4,345,430,063.54
  5. Step 5: Solve for x
    x = 4,345,430,063.54/96,574.75
  6. Step 6: Final answer
    x = 44,995.51

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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.