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Finding the Fourth Proportional to 96,175.34, 144,264.09 and 29,614.94

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Solution

The fourth proportional to 96,175.34, 144,264.09 and 29,614.94 is: 44,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,175.34 : 144,264.09 = 29,614.94 : x
  2. Step 2: Convert to fraction form
    96,175.34/144,264.09 = 29,614.94/x
  3. Step 3: Cross multiply
    96,175.34x = 144,264.09 × 29,614.94
  4. Step 4: Simplify right side
    96,175.34x = 4,272,372,369.50
  5. Step 5: Solve for x
    x = 4,272,372,369.50/96,175.34
  6. Step 6: Final answer
    x = 44,422.74

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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.