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Finding the Fourth Proportional to 54,737.91, 82,106.87 and 13,184.91

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Solution

The fourth proportional to 54,737.91, 82,106.87 and 13,184.91 is: 19,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.91 : 82,106.87 = 13,184.91 : x
  2. Step 2: Convert to fraction form
    54,737.91/82,106.87 = 13,184.91/x
  3. Step 3: Cross multiply
    54,737.91x = 82,106.87 × 13,184.91
  4. Step 4: Simplify right side
    54,737.91x = 1,082,571,625.41
  5. Step 5: Solve for x
    x = 1,082,571,625.41/54,737.91
  6. Step 6: Final answer
    x = 19,777.37

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1.5x scale

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.