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Finding the Fourth Proportional to 117,052.94, 175,584.42 and 45,990.97

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Solution

The fourth proportional to 117,052.94, 175,584.42 and 45,990.97 is: 68,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,052.94 : 175,584.42 = 45,990.97 : x
  2. Step 2: Convert to fraction form
    117,052.94/175,584.42 = 45,990.97/x
  3. Step 3: Cross multiply
    117,052.94x = 175,584.42 × 45,990.97
  4. Step 4: Simplify right side
    117,052.94x = 8,075,296,914.77
  5. Step 5: Solve for x
    x = 8,075,296,914.77/117,052.94
  6. Step 6: Final answer
    x = 68,988.42

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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.