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Finding the Fourth Proportional to 35,927.36, 53,897.04 and 16,205.48

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Solution

The fourth proportional to 35,927.36, 53,897.04 and 16,205.48 is: 24,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,927.36 : 53,897.04 = 16,205.48 : x
  2. Step 2: Convert to fraction form
    35,927.36/53,897.04 = 16,205.48/x
  3. Step 3: Cross multiply
    35,927.36x = 53,897.04 × 16,205.48
  4. Step 4: Simplify right side
    35,927.36x = 873,427,403.78
  5. Step 5: Solve for x
    x = 873,427,403.78/35,927.36
  6. Step 6: Final answer
    x = 24,310.93

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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.