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Finding the Fourth Proportional to 72,839.76, 109,295.40 and 26,096.40

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Solution

The fourth proportional to 72,839.76, 109,295.40 and 26,096.40 is: 39,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,839.76 : 109,295.40 = 26,096.40 : x
  2. Step 2: Convert to fraction form
    72,839.76/109,295.40 = 26,096.40/x
  3. Step 3: Cross multiply
    72,839.76x = 109,295.40 × 26,096.40
  4. Step 4: Simplify right side
    72,839.76x = 2,852,216,476.56
  5. Step 5: Solve for x
    x = 2,852,216,476.56/72,839.76
  6. Step 6: Final answer
    x = 39,157.41

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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.