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Finding the Fourth Proportional to 35,688.33, 53,526.50 and 11,993.20

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Solution

The fourth proportional to 35,688.33, 53,526.50 and 11,993.20 is: 17,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,688.33 : 53,526.50 = 11,993.20 : x
  2. Step 2: Convert to fraction form
    35,688.33/53,526.50 = 11,993.20/x
  3. Step 3: Cross multiply
    35,688.33x = 53,526.50 × 11,993.20
  4. Step 4: Simplify right side
    35,688.33x = 641,954,019.80
  5. Step 5: Solve for x
    x = 641,954,019.80/35,688.33
  6. Step 6: Final answer
    x = 17,987.79

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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.