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Finding the Fourth Proportional to 114,024, 171,036.01 and 35,138.23

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Solution

The fourth proportional to 114,024, 171,036.01 and 35,138.23 is: 52,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024 : 171,036.01 = 35,138.23 : x
  2. Step 2: Convert to fraction form
    114,024/171,036.01 = 35,138.23/x
  3. Step 3: Cross multiply
    114,024x = 171,036.01 × 35,138.23
  4. Step 4: Simplify right side
    114,024x = 6,009,902,657.66
  5. Step 5: Solve for x
    x = 6,009,902,657.66/114,024
  6. Step 6: Final answer
    x = 52,707.35

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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.