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Finding the Fourth Proportional to 35,340.87, 53,017.80 and 11,649.81

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Solution

The fourth proportional to 35,340.87, 53,017.80 and 11,649.81 is: 17,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,340.87 : 53,017.80 = 11,649.81 : x
  2. Step 2: Convert to fraction form
    35,340.87/53,017.80 = 11,649.81/x
  3. Step 3: Cross multiply
    35,340.87x = 53,017.80 × 11,649.81
  4. Step 4: Simplify right side
    35,340.87x = 617,647,296.62
  5. Step 5: Solve for x
    x = 617,647,296.62/35,340.87
  6. Step 6: Final answer
    x = 17,476.86

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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.