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Finding the Fourth Proportional to 35,874.11, 53,807.51 and 9,581.51

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Solution

The fourth proportional to 35,874.11, 53,807.51 and 9,581.51 is: 14,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.11 : 53,807.51 = 9,581.51 : x
  2. Step 2: Convert to fraction form
    35,874.11/53,807.51 = 9,581.51/x
  3. Step 3: Cross multiply
    35,874.11x = 53,807.51 × 9,581.51
  4. Step 4: Simplify right side
    35,874.11x = 515,556,878.20
  5. Step 5: Solve for x
    x = 515,556,878.20/35,874.11
  6. Step 6: Final answer
    x = 14,371.28

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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.