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Finding the Fourth Proportional to 35,340.66, 53,017.56 and 11,649.87

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Solution

The fourth proportional to 35,340.66, 53,017.56 and 11,649.87 is: 17,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,340.66 : 53,017.56 = 11,649.87 : x
  2. Step 2: Convert to fraction form
    35,340.66/53,017.56 = 11,649.87/x
  3. Step 3: Cross multiply
    35,340.66x = 53,017.56 × 11,649.87
  4. Step 4: Simplify right side
    35,340.66x = 617,647,681.72
  5. Step 5: Solve for x
    x = 617,647,681.72/35,340.66
  6. Step 6: Final answer
    x = 17,476.97

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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.