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Finding the Fourth Proportional to 33,703.60, 46,520.22 and 19,561

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Solution

The fourth proportional to 33,703.60, 46,520.22 and 19,561 is: 26,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,703.60 : 46,520.22 = 19,561 : x
  2. Step 2: Convert to fraction form
    33,703.60/46,520.22 = 19,561/x
  3. Step 3: Cross multiply
    33,703.60x = 46,520.22 × 19,561
  4. Step 4: Simplify right side
    33,703.60x = 909,982,023.42
  5. Step 5: Solve for x
    x = 909,982,023.42/33,703.60
  6. Step 6: Final answer
    x = 26,999.55

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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.