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Finding the Fourth Proportional to 33,739.38, 46,564.47 and 19,592.24

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Solution

The fourth proportional to 33,739.38, 46,564.47 and 19,592.24 is: 27,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739.38 : 46,564.47 = 19,592.24 : x
  2. Step 2: Convert to fraction form
    33,739.38/46,564.47 = 19,592.24/x
  3. Step 3: Cross multiply
    33,739.38x = 46,564.47 × 19,592.24
  4. Step 4: Simplify right side
    33,739.38x = 912,302,038.89
  5. Step 5: Solve for x
    x = 912,302,038.89/33,739.38
  6. Step 6: Final answer
    x = 27,039.68

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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.