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Finding the Fourth Proportional to 105,791.83, 145,992.93 and 58,045.51

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Solution

The fourth proportional to 105,791.83, 145,992.93 and 58,045.51 is: 80,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,791.83 : 145,992.93 = 58,045.51 : x
  2. Step 2: Convert to fraction form
    105,791.83/145,992.93 = 58,045.51/x
  3. Step 3: Cross multiply
    105,791.83x = 145,992.93 × 58,045.51
  4. Step 4: Simplify right side
    105,791.83x = 8,474,234,078.24
  5. Step 5: Solve for x
    x = 8,474,234,078.24/105,791.83
  6. Step 6: Final answer
    x = 80,102.92

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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.