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Finding the Fourth Proportional to 35,675.25, 53,508.61 and 9,382.04

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Solution

The fourth proportional to 35,675.25, 53,508.61 and 9,382.04 is: 14,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.25 : 53,508.61 = 9,382.04 : x
  2. Step 2: Convert to fraction form
    35,675.25/53,508.61 = 9,382.04/x
  3. Step 3: Cross multiply
    35,675.25x = 53,508.61 × 9,382.04
  4. Step 4: Simplify right side
    35,675.25x = 502,019,919.36
  5. Step 5: Solve for x
    x = 502,019,919.36/35,675.25
  6. Step 6: Final answer
    x = 14,071.94

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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.