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Finding the Fourth Proportional to 53,400.96, 80,096.58 and 13,957.20

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Solution

The fourth proportional to 53,400.96, 80,096.58 and 13,957.20 is: 20,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,400.96 : 80,096.58 = 13,957.20 : x
  2. Step 2: Convert to fraction form
    53,400.96/80,096.58 = 13,957.20/x
  3. Step 3: Cross multiply
    53,400.96x = 80,096.58 × 13,957.20
  4. Step 4: Simplify right side
    53,400.96x = 1,117,923,986.38
  5. Step 5: Solve for x
    x = 1,117,923,986.38/53,400.96
  6. Step 6: Final answer
    x = 20,934.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.