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Finding the Fourth Proportional to 29,042.85, 43,569.94 and 9,319.89

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Solution

The fourth proportional to 29,042.85, 43,569.94 and 9,319.89 is: 13,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,042.85 : 43,569.94 = 9,319.89 : x
  2. Step 2: Convert to fraction form
    29,042.85/43,569.94 = 9,319.89/x
  3. Step 3: Cross multiply
    29,042.85x = 43,569.94 × 9,319.89
  4. Step 4: Simplify right side
    29,042.85x = 406,067,048.11
  5. Step 5: Solve for x
    x = 406,067,048.11/29,042.85
  6. Step 6: Final answer
    x = 13,981.65

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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.