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Finding the Fourth Proportional to 51,506.84, 77,271.84 and 27,813.86

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Solution

The fourth proportional to 51,506.84, 77,271.84 and 27,813.86 is: 41,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.84 : 77,271.84 = 27,813.86 : x
  2. Step 2: Convert to fraction form
    51,506.84/77,271.84 = 27,813.86/x
  3. Step 3: Cross multiply
    51,506.84x = 77,271.84 × 27,813.86
  4. Step 4: Simplify right side
    51,506.84x = 2,149,228,139.70
  5. Step 5: Solve for x
    x = 2,149,228,139.70/51,506.84
  6. Step 6: Final answer
    x = 41,727.04

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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.