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Finding the Fourth Proportional to 35,338.78, 53,017.74 and 11,965.22

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Solution

The fourth proportional to 35,338.78, 53,017.74 and 11,965.22 is: 17,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.78 : 53,017.74 = 11,965.22 : x
  2. Step 2: Convert to fraction form
    35,338.78/53,017.74 = 11,965.22/x
  3. Step 3: Cross multiply
    35,338.78x = 53,017.74 × 11,965.22
  4. Step 4: Simplify right side
    35,338.78x = 634,368,856.73
  5. Step 5: Solve for x
    x = 634,368,856.73/35,338.78
  6. Step 6: Final answer
    x = 17,951.07

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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.