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Finding the Fourth Proportional to 55,140.96, 76,096.16 and 29,992.16

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Solution

The fourth proportional to 55,140.96, 76,096.16 and 29,992.16 is: 41,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,140.96 : 76,096.16 = 29,992.16 : x
  2. Step 2: Convert to fraction form
    55,140.96/76,096.16 = 29,992.16/x
  3. Step 3: Cross multiply
    55,140.96x = 76,096.16 × 29,992.16
  4. Step 4: Simplify right side
    55,140.96x = 2,282,288,206.11
  5. Step 5: Solve for x
    x = 2,282,288,206.11/55,140.96
  6. Step 6: Final answer
    x = 41,390.07

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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.