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Finding the Fourth Proportional to 29,106.87, 43,668.33 and 11,589

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Solution

The fourth proportional to 29,106.87, 43,668.33 and 11,589 is: 17,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106.87 : 43,668.33 = 11,589 : x
  2. Step 2: Convert to fraction form
    29,106.87/43,668.33 = 11,589/x
  3. Step 3: Cross multiply
    29,106.87x = 43,668.33 × 11,589
  4. Step 4: Simplify right side
    29,106.87x = 506,072,276.37
  5. Step 5: Solve for x
    x = 506,072,276.37/29,106.87
  6. Step 6: Final answer
    x = 17,386.70

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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.