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Finding the Fourth Proportional to 47,604.92, 71,457.62 and 46,532.61

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Solution

The fourth proportional to 47,604.92, 71,457.62 and 46,532.61 is: 69,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,604.92 : 71,457.62 = 46,532.61 : x
  2. Step 2: Convert to fraction form
    47,604.92/71,457.62 = 46,532.61/x
  3. Step 3: Cross multiply
    47,604.92x = 71,457.62 × 46,532.61
  4. Step 4: Simplify right side
    47,604.92x = 3,325,109,330.33
  5. Step 5: Solve for x
    x = 3,325,109,330.33/47,604.92
  6. Step 6: Final answer
    x = 69,848.03

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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.