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Finding the Fourth Proportional to 48,846.34, 73,269.51 and 13,786.00

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Solution

The fourth proportional to 48,846.34, 73,269.51 and 13,786.00 is: 20,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,846.34 : 73,269.51 = 13,786.00 : x
  2. Step 2: Convert to fraction form
    48,846.34/73,269.51 = 13,786.00/x
  3. Step 3: Cross multiply
    48,846.34x = 73,269.51 × 13,786.00
  4. Step 4: Simplify right side
    48,846.34x = 1,010,093,307.53
  5. Step 5: Solve for x
    x = 1,010,093,307.53/48,846.34
  6. Step 6: Final answer
    x = 20,679.00

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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.