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Finding the Fourth Proportional to 55,960.72, 77,216.76 and 32,083

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Solution

The fourth proportional to 55,960.72, 77,216.76 and 32,083 is: 44,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,960.72 : 77,216.76 = 32,083 : x
  2. Step 2: Convert to fraction form
    55,960.72/77,216.76 = 32,083/x
  3. Step 3: Cross multiply
    55,960.72x = 77,216.76 × 32,083
  4. Step 4: Simplify right side
    55,960.72x = 2,477,345,311.08
  5. Step 5: Solve for x
    x = 2,477,345,311.08/55,960.72
  6. Step 6: Final answer
    x = 44,269.36

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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.