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Finding the Fourth Proportional to 33,308.16, 49,978.44 and 15,757.08

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Solution

The fourth proportional to 33,308.16, 49,978.44 and 15,757.08 is: 23,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,308.16 : 49,978.44 = 15,757.08 : x
  2. Step 2: Convert to fraction form
    33,308.16/49,978.44 = 15,757.08/x
  3. Step 3: Cross multiply
    33,308.16x = 49,978.44 × 15,757.08
  4. Step 4: Simplify right side
    33,308.16x = 787,514,277.36
  5. Step 5: Solve for x
    x = 787,514,277.36/33,308.16
  6. Step 6: Final answer
    x = 23,643.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.