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Finding the Fourth Proportional to 35,073.12, 52,629.12 and 14,295

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Solution

The fourth proportional to 35,073.12, 52,629.12 and 14,295 is: 21,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,073.12 : 52,629.12 = 14,295 : x
  2. Step 2: Convert to fraction form
    35,073.12/52,629.12 = 14,295/x
  3. Step 3: Cross multiply
    35,073.12x = 52,629.12 × 14,295
  4. Step 4: Simplify right side
    35,073.12x = 752,333,270.40
  5. Step 5: Solve for x
    x = 752,333,270.40/35,073.12
  6. Step 6: Final answer
    x = 21,450.42

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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.