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Finding the Fourth Proportional to 183,798.24, 275,712.75 and 50,678.40

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Solution

The fourth proportional to 183,798.24, 275,712.75 and 50,678.40 is: 76,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,798.24 : 275,712.75 = 50,678.40 : x
  2. Step 2: Convert to fraction form
    183,798.24/275,712.75 = 50,678.40/x
  3. Step 3: Cross multiply
    183,798.24x = 275,712.75 × 50,678.40
  4. Step 4: Simplify right side
    183,798.24x = 13,972,681,029.60
  5. Step 5: Solve for x
    x = 13,972,681,029.60/183,798.24
  6. Step 6: Final answer
    x = 76,021.84

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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.