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Finding the Fourth Proportional to 49,114.96, 73,673.40 and 12,178

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Solution

The fourth proportional to 49,114.96, 73,673.40 and 12,178 is: 18,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,114.96 : 73,673.40 = 12,178 : x
  2. Step 2: Convert to fraction form
    49,114.96/73,673.40 = 12,178/x
  3. Step 3: Cross multiply
    49,114.96x = 73,673.40 × 12,178
  4. Step 4: Simplify right side
    49,114.96x = 897,194,665.20
  5. Step 5: Solve for x
    x = 897,194,665.20/49,114.96
  6. Step 6: Final answer
    x = 18,267.24

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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.