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Finding the Fourth Proportional to 70,172.92, 105,225.26 and 23,410

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Solution

The fourth proportional to 70,172.92, 105,225.26 and 23,410 is: 35,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,172.92 : 105,225.26 = 23,410 : x
  2. Step 2: Convert to fraction form
    70,172.92/105,225.26 = 23,410/x
  3. Step 3: Cross multiply
    70,172.92x = 105,225.26 × 23,410
  4. Step 4: Simplify right side
    70,172.92x = 2,463,323,336.60
  5. Step 5: Solve for x
    x = 2,463,323,336.60/70,172.92
  6. Step 6: Final answer
    x = 35,103.62

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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.