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Finding the Fourth Proportional to 50,462.52, 75,693.78 and 13,527.48

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Solution

The fourth proportional to 50,462.52, 75,693.78 and 13,527.48 is: 20,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,462.52 : 75,693.78 = 13,527.48 : x
  2. Step 2: Convert to fraction form
    50,462.52/75,693.78 = 13,527.48/x
  3. Step 3: Cross multiply
    50,462.52x = 75,693.78 × 13,527.48
  4. Step 4: Simplify right side
    50,462.52x = 1,023,946,095.07
  5. Step 5: Solve for x
    x = 1,023,946,095.07/50,462.52
  6. Step 6: Final answer
    x = 20,291.22

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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.