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Finding the Fourth Proportional to 42,794.84, 59,062.38 and 23,933

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Solution

The fourth proportional to 42,794.84, 59,062.38 and 23,933 is: 33,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794.84 : 59,062.38 = 23,933 : x
  2. Step 2: Convert to fraction form
    42,794.84/59,062.38 = 23,933/x
  3. Step 3: Cross multiply
    42,794.84x = 59,062.38 × 23,933
  4. Step 4: Simplify right side
    42,794.84x = 1,413,539,940.54
  5. Step 5: Solve for x
    x = 1,413,539,940.54/42,794.84
  6. Step 6: Final answer
    x = 33,030.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.