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Finding the Fourth Proportional to 33,749, 46,573.14 and 19,609.80

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Solution

The fourth proportional to 33,749, 46,573.14 and 19,609.80 is: 27,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,749 : 46,573.14 = 19,609.80 : x
  2. Step 2: Convert to fraction form
    33,749/46,573.14 = 19,609.80/x
  3. Step 3: Cross multiply
    33,749x = 46,573.14 × 19,609.80
  4. Step 4: Simplify right side
    33,749x = 913,289,960.77
  5. Step 5: Solve for x
    x = 913,289,960.77/33,749
  6. Step 6: Final answer
    x = 27,061.25

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