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Finding the Fourth Proportional to 117,172.69, 175,767.23 and 47,052

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Solution

The fourth proportional to 117,172.69, 175,767.23 and 47,052 is: 70,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,172.69 : 175,767.23 = 47,052 : x
  2. Step 2: Convert to fraction form
    117,172.69/175,767.23 = 47,052/x
  3. Step 3: Cross multiply
    117,172.69x = 175,767.23 × 47,052
  4. Step 4: Simplify right side
    117,172.69x = 8,270,199,823.59
  5. Step 5: Solve for x
    x = 8,270,199,823.59/117,172.69
  6. Step 6: Final answer
    x = 70,581.29

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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.