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Finding the Fourth Proportional to 47,705.70, 71,449.20 and 46,612.20

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Solution

The fourth proportional to 47,705.70, 71,449.20 and 46,612.20 is: 69,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,705.70 : 71,449.20 = 46,612.20 : x
  2. Step 2: Convert to fraction form
    47,705.70/71,449.20 = 46,612.20/x
  3. Step 3: Cross multiply
    47,705.70x = 71,449.20 × 46,612.20
  4. Step 4: Simplify right side
    47,705.70x = 3,330,404,400.24
  5. Step 5: Solve for x
    x = 3,330,404,400.24/47,705.70
  6. Step 6: Final answer
    x = 69,811.46

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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.