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Finding the Fourth Proportional to 96,174.18, 144,277.74 and 29,613

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Solution

The fourth proportional to 96,174.18, 144,277.74 and 29,613 is: 44,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,174.18 : 144,277.74 = 29,613 : x
  2. Step 2: Convert to fraction form
    96,174.18/144,277.74 = 29,613/x
  3. Step 3: Cross multiply
    96,174.18x = 144,277.74 × 29,613
  4. Step 4: Simplify right side
    96,174.18x = 4,272,496,714.62
  5. Step 5: Solve for x
    x = 4,272,496,714.62/96,174.18
  6. Step 6: Final answer
    x = 44,424.57

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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.