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Finding the Fourth Proportional to 96,408.72, 144,605.79 and 29,849.40

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Solution

The fourth proportional to 96,408.72, 144,605.79 and 29,849.40 is: 44,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408.72 : 144,605.79 = 29,849.40 : x
  2. Step 2: Convert to fraction form
    96,408.72/144,605.79 = 29,849.40/x
  3. Step 3: Cross multiply
    96,408.72x = 144,605.79 × 29,849.40
  4. Step 4: Simplify right side
    96,408.72x = 4,316,396,068.03
  5. Step 5: Solve for x
    x = 4,316,396,068.03/96,408.72
  6. Step 6: Final answer
    x = 44,771.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.