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Finding the Fourth Proportional to 53,527.50, 80,302.14 and 18,462.60

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Solution

The fourth proportional to 53,527.50, 80,302.14 and 18,462.60 is: 27,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,527.50 : 80,302.14 = 18,462.60 : x
  2. Step 2: Convert to fraction form
    53,527.50/80,302.14 = 18,462.60/x
  3. Step 3: Cross multiply
    53,527.50x = 80,302.14 × 18,462.60
  4. Step 4: Simplify right side
    53,527.50x = 1,482,586,289.96
  5. Step 5: Solve for x
    x = 1,482,586,289.96/53,527.50
  6. Step 6: Final answer
    x = 27,697.66

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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.