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Finding the Fourth Proportional to 51,808.94, 77,713.43 and 14,378.44

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Solution

The fourth proportional to 51,808.94, 77,713.43 and 14,378.44 is: 21,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.94 : 77,713.43 = 14,378.44 : x
  2. Step 2: Convert to fraction form
    51,808.94/77,713.43 = 14,378.44/x
  3. Step 3: Cross multiply
    51,808.94x = 77,713.43 × 14,378.44
  4. Step 4: Simplify right side
    51,808.94x = 1,117,397,429.99
  5. Step 5: Solve for x
    x = 1,117,397,429.99/51,808.94
  6. Step 6: Final answer
    x = 21,567.66

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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.