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Finding the Fourth Proportional to 35,858.67, 53,803.14 and 19,214.25

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Solution

The fourth proportional to 35,858.67, 53,803.14 and 19,214.25 is: 28,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,858.67 : 53,803.14 = 19,214.25 : x
  2. Step 2: Convert to fraction form
    35,858.67/53,803.14 = 19,214.25/x
  3. Step 3: Cross multiply
    35,858.67x = 53,803.14 × 19,214.25
  4. Step 4: Simplify right side
    35,858.67x = 1,033,786,982.75
  5. Step 5: Solve for x
    x = 1,033,786,982.75/35,858.67
  6. Step 6: Final answer
    x = 28,829.48

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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.