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Finding the Fourth Proportional to 117,175.68, 175,771.74 and 47,055

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Solution

The fourth proportional to 117,175.68, 175,771.74 and 47,055 is: 70,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,175.68 : 175,771.74 = 47,055 : x
  2. Step 2: Convert to fraction form
    117,175.68/175,771.74 = 47,055/x
  3. Step 3: Cross multiply
    117,175.68x = 175,771.74 × 47,055
  4. Step 4: Simplify right side
    117,175.68x = 8,270,939,225.70
  5. Step 5: Solve for x
    x = 8,270,939,225.70/117,175.68
  6. Step 6: Final answer
    x = 70,585.80

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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.