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Finding the Fourth Proportional to 105,138.09, 157,674.33 and 35,001

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Solution

The fourth proportional to 105,138.09, 157,674.33 and 35,001 is: 52,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.09 : 157,674.33 = 35,001 : x
  2. Step 2: Convert to fraction form
    105,138.09/157,674.33 = 35,001/x
  3. Step 3: Cross multiply
    105,138.09x = 157,674.33 × 35,001
  4. Step 4: Simplify right side
    105,138.09x = 5,518,759,224.33
  5. Step 5: Solve for x
    x = 5,518,759,224.33/105,138.09
  6. Step 6: Final answer
    x = 52,490.58

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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.