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Finding the Fourth Proportional to 78,185.82, 117,277.74 and 19,021.53

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Solution

The fourth proportional to 78,185.82, 117,277.74 and 19,021.53 is: 28,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.82 : 117,277.74 = 19,021.53 : x
  2. Step 2: Convert to fraction form
    78,185.82/117,277.74 = 19,021.53/x
  3. Step 3: Cross multiply
    78,185.82x = 117,277.74 × 19,021.53
  4. Step 4: Simplify right side
    78,185.82x = 2,230,802,049.74
  5. Step 5: Solve for x
    x = 2,230,802,049.74/78,185.82
  6. Step 6: Final answer
    x = 28,532.05

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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.