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Finding the Fourth Proportional to 114,048.54, 171,054.45 and 34,085.34

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Solution

The fourth proportional to 114,048.54, 171,054.45 and 34,085.34 is: 51,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,048.54 : 171,054.45 = 34,085.34 : x
  2. Step 2: Convert to fraction form
    114,048.54/171,054.45 = 34,085.34/x
  3. Step 3: Cross multiply
    114,048.54x = 171,054.45 × 34,085.34
  4. Step 4: Simplify right side
    114,048.54x = 5,830,449,086.76
  5. Step 5: Solve for x
    x = 5,830,449,086.76/114,048.54
  6. Step 6: Final answer
    x = 51,122.52

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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.