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Finding the Fourth Proportional to 70,462.96, 105,705.38 and 23,712.19

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Solution

The fourth proportional to 70,462.96, 105,705.38 and 23,712.19 is: 35,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,462.96 : 105,705.38 = 23,712.19 : x
  2. Step 2: Convert to fraction form
    70,462.96/105,705.38 = 23,712.19/x
  3. Step 3: Cross multiply
    70,462.96x = 105,705.38 × 23,712.19
  4. Step 4: Simplify right side
    70,462.96x = 2,506,505,849.60
  5. Step 5: Solve for x
    x = 2,506,505,849.60/70,462.96
  6. Step 6: Final answer
    x = 35,571.96

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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.