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Finding the Fourth Proportional to 35,678.28, 49,259.70 and 33,448.08

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Solution

The fourth proportional to 35,678.28, 49,259.70 and 33,448.08 is: 46,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.28 : 49,259.70 = 33,448.08 : x
  2. Step 2: Convert to fraction form
    35,678.28/49,259.70 = 33,448.08/x
  3. Step 3: Cross multiply
    35,678.28x = 49,259.70 × 33,448.08
  4. Step 4: Simplify right side
    35,678.28x = 1,647,642,386.38
  5. Step 5: Solve for x
    x = 1,647,642,386.38/35,678.28
  6. Step 6: Final answer
    x = 46,180.54

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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.