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Finding the Fourth Proportional to 35,833, 53,756.25 and 17,114.44

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Solution

The fourth proportional to 35,833, 53,756.25 and 17,114.44 is: 25,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833 : 53,756.25 = 17,114.44 : x
  2. Step 2: Convert to fraction form
    35,833/53,756.25 = 17,114.44/x
  3. Step 3: Cross multiply
    35,833x = 53,756.25 × 17,114.44
  4. Step 4: Simplify right side
    35,833x = 920,008,115.25
  5. Step 5: Solve for x
    x = 920,008,115.25/35,833
  6. Step 6: Final answer
    x = 25,674.88

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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.