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Finding the Fourth Proportional to 35,549.42, 53,277.96 and 14,464.88

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Solution

The fourth proportional to 35,549.42, 53,277.96 and 14,464.88 is: 21,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,549.42 : 53,277.96 = 14,464.88 : x
  2. Step 2: Convert to fraction form
    35,549.42/53,277.96 = 14,464.88/x
  3. Step 3: Cross multiply
    35,549.42x = 53,277.96 × 14,464.88
  4. Step 4: Simplify right side
    35,549.42x = 770,659,298.04
  5. Step 5: Solve for x
    x = 770,659,298.04/35,549.42
  6. Step 6: Final answer
    x = 21,678.53

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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.