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Finding the Fourth Proportional to 77,852.00, 107,453.25 and 50,978.90

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Solution

The fourth proportional to 77,852.00, 107,453.25 and 50,978.90 is: 70,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852.00 : 107,453.25 = 50,978.90 : x
  2. Step 2: Convert to fraction form
    77,852.00/107,453.25 = 50,978.90/x
  3. Step 3: Cross multiply
    77,852.00x = 107,453.25 × 50,978.90
  4. Step 4: Simplify right side
    77,852.00x = 5,477,848,755.06
  5. Step 5: Solve for x
    x = 5,477,848,755.06/77,852.00
  6. Step 6: Final answer
    x = 70,362.34

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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.