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Finding the Fourth Proportional to 35,675.80, 53,509.45 and 9,382.60

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Solution

The fourth proportional to 35,675.80, 53,509.45 and 9,382.60 is: 14,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.80 : 53,509.45 = 9,382.60 : x
  2. Step 2: Convert to fraction form
    35,675.80/53,509.45 = 9,382.60/x
  3. Step 3: Cross multiply
    35,675.80x = 53,509.45 × 9,382.60
  4. Step 4: Simplify right side
    35,675.80x = 502,057,765.57
  5. Step 5: Solve for x
    x = 502,057,765.57/35,675.80
  6. Step 6: Final answer
    x = 14,072.78

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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.