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Finding the Fourth Proportional to 117,119, 175,683.36 and 34,013

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Solution

The fourth proportional to 117,119, 175,683.36 and 34,013 is: 51,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,119 : 175,683.36 = 34,013 : x
  2. Step 2: Convert to fraction form
    117,119/175,683.36 = 34,013/x
  3. Step 3: Cross multiply
    117,119x = 175,683.36 × 34,013
  4. Step 4: Simplify right side
    117,119x = 5,975,518,123.68
  5. Step 5: Solve for x
    x = 5,975,518,123.68/117,119
  6. Step 6: Final answer
    x = 51,020.91

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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.