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Finding the Fourth Proportional to 51,766.84, 77,655.12 and 18,490.44

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Solution

The fourth proportional to 51,766.84, 77,655.12 and 18,490.44 is: 27,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,766.84 : 77,655.12 = 18,490.44 : x
  2. Step 2: Convert to fraction form
    51,766.84/77,655.12 = 18,490.44/x
  3. Step 3: Cross multiply
    51,766.84x = 77,655.12 × 18,490.44
  4. Step 4: Simplify right side
    51,766.84x = 1,435,877,337.05
  5. Step 5: Solve for x
    x = 1,435,877,337.05/51,766.84
  6. Step 6: Final answer
    x = 27,737.40

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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.