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Finding the Fourth Proportional to 33,802.74, 50,717.07 and 14,076

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Solution

The fourth proportional to 33,802.74, 50,717.07 and 14,076 is: 21,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802.74 : 50,717.07 = 14,076 : x
  2. Step 2: Convert to fraction form
    33,802.74/50,717.07 = 14,076/x
  3. Step 3: Cross multiply
    33,802.74x = 50,717.07 × 14,076
  4. Step 4: Simplify right side
    33,802.74x = 713,893,477.32
  5. Step 5: Solve for x
    x = 713,893,477.32/33,802.74
  6. Step 6: Final answer
    x = 21,119.40

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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.