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Finding the Fourth Proportional to 77,973.36, 107,603.16 and 42,163.32

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Solution

The fourth proportional to 77,973.36, 107,603.16 and 42,163.32 is: 58,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,973.36 : 107,603.16 = 42,163.32 : x
  2. Step 2: Convert to fraction form
    77,973.36/107,603.16 = 42,163.32/x
  3. Step 3: Cross multiply
    77,973.36x = 107,603.16 × 42,163.32
  4. Step 4: Simplify right side
    77,973.36x = 4,536,906,468.09
  5. Step 5: Solve for x
    x = 4,536,906,468.09/77,973.36
  6. Step 6: Final answer
    x = 58,185.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.