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Finding the Fourth Proportional to 33,577.80, 46,333.73 and 19,428

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Solution

The fourth proportional to 33,577.80, 46,333.73 and 19,428 is: 26,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,577.80 : 46,333.73 = 19,428 : x
  2. Step 2: Convert to fraction form
    33,577.80/46,333.73 = 19,428/x
  3. Step 3: Cross multiply
    33,577.80x = 46,333.73 × 19,428
  4. Step 4: Simplify right side
    33,577.80x = 900,171,609.30
  5. Step 5: Solve for x
    x = 900,171,609.30/33,577.80
  6. Step 6: Final answer
    x = 26,808.53

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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.