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Finding the Fourth Proportional to 70,241.92, 105,224.64 and 46,533.76

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Solution

The fourth proportional to 70,241.92, 105,224.64 and 46,533.76 is: 69,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,241.92 : 105,224.64 = 46,533.76 : x
  2. Step 2: Convert to fraction form
    70,241.92/105,224.64 = 46,533.76/x
  3. Step 3: Cross multiply
    70,241.92x = 105,224.64 × 46,533.76
  4. Step 4: Simplify right side
    70,241.92x = 4,896,498,143.85
  5. Step 5: Solve for x
    x = 4,896,498,143.85/70,241.92
  6. Step 6: Final answer
    x = 69,709.06

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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.