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Finding the Fourth Proportional to 53,302.42, 79,944.01 and 13,857.11

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Solution

The fourth proportional to 53,302.42, 79,944.01 and 13,857.11 is: 20,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,302.42 : 79,944.01 = 13,857.11 : x
  2. Step 2: Convert to fraction form
    53,302.42/79,944.01 = 13,857.11/x
  3. Step 3: Cross multiply
    53,302.42x = 79,944.01 × 13,857.11
  4. Step 4: Simplify right side
    53,302.42x = 1,107,792,506.05
  5. Step 5: Solve for x
    x = 1,107,792,506.05/53,302.42
  6. Step 6: Final answer
    x = 20,783.16

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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.