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Finding the Fourth Proportional to 35,675.87, 53,509.55 and 9,382.66

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Solution

The fourth proportional to 35,675.87, 53,509.55 and 9,382.66 is: 14,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.87 : 53,509.55 = 9,382.66 : x
  2. Step 2: Convert to fraction form
    35,675.87/53,509.55 = 9,382.66/x
  3. Step 3: Cross multiply
    35,675.87x = 53,509.55 × 9,382.66
  4. Step 4: Simplify right side
    35,675.87x = 502,061,914.40
  5. Step 5: Solve for x
    x = 502,061,914.40/35,675.87
  6. Step 6: Final answer
    x = 14,072.87

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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.