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Finding the Fourth Proportional to 114,101.70, 171,152.55 and 30,995.70

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Solution

The fourth proportional to 114,101.70, 171,152.55 and 30,995.70 is: 46,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,101.70 : 171,152.55 = 30,995.70 : x
  2. Step 2: Convert to fraction form
    114,101.70/171,152.55 = 30,995.70/x
  3. Step 3: Cross multiply
    114,101.70x = 171,152.55 × 30,995.70
  4. Step 4: Simplify right side
    114,101.70x = 5,304,993,094.04
  5. Step 5: Solve for x
    x = 5,304,993,094.04/114,101.70
  6. Step 6: Final answer
    x = 46,493.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.