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Finding the Fourth Proportional to 35,537.96, 53,300.49 and 9,241.07

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Solution

The fourth proportional to 35,537.96, 53,300.49 and 9,241.07 is: 13,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,537.96 : 53,300.49 = 9,241.07 : x
  2. Step 2: Convert to fraction form
    35,537.96/53,300.49 = 9,241.07/x
  3. Step 3: Cross multiply
    35,537.96x = 53,300.49 × 9,241.07
  4. Step 4: Simplify right side
    35,537.96x = 492,553,559.12
  5. Step 5: Solve for x
    x = 492,553,559.12/35,537.96
  6. Step 6: Final answer
    x = 13,859.93

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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.