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Finding the Fourth Proportional to 47,606.40, 71,409.60 and 46,512.90

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Solution

The fourth proportional to 47,606.40, 71,409.60 and 46,512.90 is: 69,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,606.40 : 71,409.60 = 46,512.90 : x
  2. Step 2: Convert to fraction form
    47,606.40/71,409.60 = 46,512.90/x
  3. Step 3: Cross multiply
    47,606.40x = 71,409.60 × 46,512.90
  4. Step 4: Simplify right side
    47,606.40x = 3,321,467,583.84
  5. Step 5: Solve for x
    x = 3,321,467,583.84/47,606.40
  6. Step 6: Final answer
    x = 69,769.35

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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.