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Finding the Fourth Proportional to 49,047, 73,570.68 and 12,111

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Solution

The fourth proportional to 49,047, 73,570.68 and 12,111 is: 18,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047 : 73,570.68 = 12,111 : x
  2. Step 2: Convert to fraction form
    49,047/73,570.68 = 12,111/x
  3. Step 3: Cross multiply
    49,047x = 73,570.68 × 12,111
  4. Step 4: Simplify right side
    49,047x = 891,014,505.48
  5. Step 5: Solve for x
    x = 891,014,505.48/49,047
  6. Step 6: Final answer
    x = 18,166.54

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Why These Related Problems?

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