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Finding the Fourth Proportional to 51,810.94, 77,708.13 and 18,524.80

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Solution

The fourth proportional to 51,810.94, 77,708.13 and 18,524.80 is: 27,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.94 : 77,708.13 = 18,524.80 : x
  2. Step 2: Convert to fraction form
    51,810.94/77,708.13 = 18,524.80/x
  3. Step 3: Cross multiply
    51,810.94x = 77,708.13 × 18,524.80
  4. Step 4: Simplify right side
    51,810.94x = 1,439,527,566.62
  5. Step 5: Solve for x
    x = 1,439,527,566.62/51,810.94
  6. Step 6: Final answer
    x = 27,784.24

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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.