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Finding the Fourth Proportional to 35,140.16, 52,716.64 and 16,672

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Solution

The fourth proportional to 35,140.16, 52,716.64 and 16,672 is: 25,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.16 : 52,716.64 = 16,672 : x
  2. Step 2: Convert to fraction form
    35,140.16/52,716.64 = 16,672/x
  3. Step 3: Cross multiply
    35,140.16x = 52,716.64 × 16,672
  4. Step 4: Simplify right side
    35,140.16x = 878,891,822.08
  5. Step 5: Solve for x
    x = 878,891,822.08/35,140.16
  6. Step 6: Final answer
    x = 25,011.04

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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.