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Finding the Fourth Proportional to 35,675.09, 53,513.04 and 9,382.49

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Solution

The fourth proportional to 35,675.09, 53,513.04 and 9,382.49 is: 14,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.09 : 53,513.04 = 9,382.49 : x
  2. Step 2: Convert to fraction form
    35,675.09/53,513.04 = 9,382.49/x
  3. Step 3: Cross multiply
    35,675.09x = 53,513.04 × 9,382.49
  4. Step 4: Simplify right side
    35,675.09x = 502,085,562.67
  5. Step 5: Solve for x
    x = 502,085,562.67/35,675.09
  6. Step 6: Final answer
    x = 14,073.84

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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.