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Finding the Fourth Proportional to 73,193.76, 109,835.76 and 28,812.96

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Solution

The fourth proportional to 73,193.76, 109,835.76 and 28,812.96 is: 43,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,193.76 : 109,835.76 = 28,812.96 : x
  2. Step 2: Convert to fraction form
    73,193.76/109,835.76 = 28,812.96/x
  3. Step 3: Cross multiply
    73,193.76x = 109,835.76 × 28,812.96
  4. Step 4: Simplify right side
    73,193.76x = 3,164,693,359.45
  5. Step 5: Solve for x
    x = 3,164,693,359.45/73,193.76
  6. Step 6: Final answer
    x = 43,237.20

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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.