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Finding the Fourth Proportional to 35,697.40, 53,548.74 and 10,735.42

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Solution

The fourth proportional to 35,697.40, 53,548.74 and 10,735.42 is: 16,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.40 : 53,548.74 = 10,735.42 : x
  2. Step 2: Convert to fraction form
    35,697.40/53,548.74 = 10,735.42/x
  3. Step 3: Cross multiply
    35,697.40x = 53,548.74 × 10,735.42
  4. Step 4: Simplify right side
    35,697.40x = 574,868,214.37
  5. Step 5: Solve for x
    x = 574,868,214.37/35,697.40
  6. Step 6: Final answer
    x = 16,103.92

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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.