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Finding the Fourth Proportional to 35,827.50, 53,741.79 and 13,642.11

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Solution

The fourth proportional to 35,827.50, 53,741.79 and 13,642.11 is: 20,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,827.50 : 53,741.79 = 13,642.11 : x
  2. Step 2: Convert to fraction form
    35,827.50/53,741.79 = 13,642.11/x
  3. Step 3: Cross multiply
    35,827.50x = 53,741.79 × 13,642.11
  4. Step 4: Simplify right side
    35,827.50x = 733,151,410.78
  5. Step 5: Solve for x
    x = 733,151,410.78/35,827.50
  6. Step 6: Final answer
    x = 20,463.37

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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.