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Finding the Fourth Proportional to 35,878.50, 53,826.39 and 11,254.50

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Solution

The fourth proportional to 35,878.50, 53,826.39 and 11,254.50 is: 16,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.50 : 53,826.39 = 11,254.50 : x
  2. Step 2: Convert to fraction form
    35,878.50/53,826.39 = 11,254.50/x
  3. Step 3: Cross multiply
    35,878.50x = 53,826.39 × 11,254.50
  4. Step 4: Simplify right side
    35,878.50x = 605,789,106.26
  5. Step 5: Solve for x
    x = 605,789,106.26/35,878.50
  6. Step 6: Final answer
    x = 16,884.46

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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.