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Finding the Fourth Proportional to 35,879.26, 53,830.42 and 10,924.14

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Solution

The fourth proportional to 35,879.26, 53,830.42 and 10,924.14 is: 16,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,879.26 : 53,830.42 = 10,924.14 : x
  2. Step 2: Convert to fraction form
    35,879.26/53,830.42 = 10,924.14/x
  3. Step 3: Cross multiply
    35,879.26x = 53,830.42 × 10,924.14
  4. Step 4: Simplify right side
    35,879.26x = 588,051,044.34
  5. Step 5: Solve for x
    x = 588,051,044.34/35,879.26
  6. Step 6: Final answer
    x = 16,389.72

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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.