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Finding the Fourth Proportional to 73,077.16, 109,627.22 and 30,957.36

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Solution

The fourth proportional to 73,077.16, 109,627.22 and 30,957.36 is: 46,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,077.16 : 109,627.22 = 30,957.36 : x
  2. Step 2: Convert to fraction form
    73,077.16/109,627.22 = 30,957.36/x
  3. Step 3: Cross multiply
    73,077.16x = 109,627.22 × 30,957.36
  4. Step 4: Simplify right side
    73,077.16x = 3,393,769,315.34
  5. Step 5: Solve for x
    x = 3,393,769,315.34/73,077.16
  6. Step 6: Final answer
    x = 46,440.90

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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.