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Finding the Fourth Proportional to 70,460.16, 105,674.88 and 23,712

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Solution

The fourth proportional to 70,460.16, 105,674.88 and 23,712 is: 35,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,460.16 : 105,674.88 = 23,712 : x
  2. Step 2: Convert to fraction form
    70,460.16/105,674.88 = 23,712/x
  3. Step 3: Cross multiply
    70,460.16x = 105,674.88 × 23,712
  4. Step 4: Simplify right side
    70,460.16x = 2,505,762,754.56
  5. Step 5: Solve for x
    x = 2,505,762,754.56/70,460.16
  6. Step 6: Final answer
    x = 35,562.83

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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.