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Finding the Fourth Proportional to 35,678.05, 53,517.59 and 16,960

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Solution

The fourth proportional to 35,678.05, 53,517.59 and 16,960 is: 25,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.05 : 53,517.59 = 16,960 : x
  2. Step 2: Convert to fraction form
    35,678.05/53,517.59 = 16,960/x
  3. Step 3: Cross multiply
    35,678.05x = 53,517.59 × 16,960
  4. Step 4: Simplify right side
    35,678.05x = 907,658,326.40
  5. Step 5: Solve for x
    x = 907,658,326.40/35,678.05
  6. Step 6: Final answer
    x = 25,440.24

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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.