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Finding the Fourth Proportional to 96,162.18, 144,259.74 and 29,601

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Solution

The fourth proportional to 96,162.18, 144,259.74 and 29,601 is: 44,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162.18 : 144,259.74 = 29,601 : x
  2. Step 2: Convert to fraction form
    96,162.18/144,259.74 = 29,601/x
  3. Step 3: Cross multiply
    96,162.18x = 144,259.74 × 29,601
  4. Step 4: Simplify right side
    96,162.18x = 4,270,232,563.74
  5. Step 5: Solve for x
    x = 4,270,232,563.74/96,162.18
  6. Step 6: Final answer
    x = 44,406.57

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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.