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Finding the Fourth Proportional to 58,096, 80,172.48 and 31,600

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Solution

The fourth proportional to 58,096, 80,172.48 and 31,600 is: 43,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,096 : 80,172.48 = 31,600 : x
  2. Step 2: Convert to fraction form
    58,096/80,172.48 = 31,600/x
  3. Step 3: Cross multiply
    58,096x = 80,172.48 × 31,600
  4. Step 4: Simplify right side
    58,096x = 2,533,450,368
  5. Step 5: Solve for x
    x = 2,533,450,368/58,096
  6. Step 6: Final answer
    x = 43,608

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.