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Finding the Fourth Proportional to 77,331.24, 115,992 and 46,143

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Solution

The fourth proportional to 77,331.24, 115,992 and 46,143 is: 69,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,331.24 : 115,992 = 46,143 : x
  2. Step 2: Convert to fraction form
    77,331.24/115,992 = 46,143/x
  3. Step 3: Cross multiply
    77,331.24x = 115,992 × 46,143
  4. Step 4: Simplify right side
    77,331.24x = 5,352,218,856
  5. Step 5: Solve for x
    x = 5,352,218,856/77,331.24
  6. Step 6: Final answer
    x = 69,211.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.