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Finding the Fourth Proportional to 35,420.40, 53,015.40 and 27,586.80

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Solution

The fourth proportional to 35,420.40, 53,015.40 and 27,586.80 is: 41,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.40 : 53,015.40 = 27,586.80 : x
  2. Step 2: Convert to fraction form
    35,420.40/53,015.40 = 27,586.80/x
  3. Step 3: Cross multiply
    35,420.40x = 53,015.40 × 27,586.80
  4. Step 4: Simplify right side
    35,420.40x = 1,462,525,236.72
  5. Step 5: Solve for x
    x = 1,462,525,236.72/35,420.40
  6. Step 6: Final answer
    x = 41,290.48

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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.