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Finding the Fourth Proportional to 33,978.96, 46,891.26 and 19,829.04

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Solution

The fourth proportional to 33,978.96, 46,891.26 and 19,829.04 is: 27,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.96 : 46,891.26 = 19,829.04 : x
  2. Step 2: Convert to fraction form
    33,978.96/46,891.26 = 19,829.04/x
  3. Step 3: Cross multiply
    33,978.96x = 46,891.26 × 19,829.04
  4. Step 4: Simplify right side
    33,978.96x = 929,808,670.19
  5. Step 5: Solve for x
    x = 929,808,670.19/33,978.96
  6. Step 6: Final answer
    x = 27,364.25

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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.