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Finding the Fourth Proportional to 70,321.12, 105,497.48 and 23,572.80

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Solution

The fourth proportional to 70,321.12, 105,497.48 and 23,572.80 is: 35,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,321.12 : 105,497.48 = 23,572.80 : x
  2. Step 2: Convert to fraction form
    70,321.12/105,497.48 = 23,572.80/x
  3. Step 3: Cross multiply
    70,321.12x = 105,497.48 × 23,572.80
  4. Step 4: Simplify right side
    70,321.12x = 2,486,870,996.54
  5. Step 5: Solve for x
    x = 2,486,870,996.54/70,321.12
  6. Step 6: Final answer
    x = 35,364.50

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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.