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Finding the Fourth Proportional to 35,033, 52,548.64 and 10,073.12

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Solution

The fourth proportional to 35,033, 52,548.64 and 10,073.12 is: 15,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033 : 52,548.64 = 10,073.12 : x
  2. Step 2: Convert to fraction form
    35,033/52,548.64 = 10,073.12/x
  3. Step 3: Cross multiply
    35,033x = 52,548.64 × 10,073.12
  4. Step 4: Simplify right side
    35,033x = 529,328,756.56
  5. Step 5: Solve for x
    x = 529,328,756.56/35,033
  6. Step 6: Final answer
    x = 15,109.43

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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.