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Finding the Fourth Proportional to 40,976.50, 61,407.60 and 30,973

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Solution

The fourth proportional to 40,976.50, 61,407.60 and 30,973 is: 46,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,976.50 : 61,407.60 = 30,973 : x
  2. Step 2: Convert to fraction form
    40,976.50/61,407.60 = 30,973/x
  3. Step 3: Cross multiply
    40,976.50x = 61,407.60 × 30,973
  4. Step 4: Simplify right side
    40,976.50x = 1,901,977,594.80
  5. Step 5: Solve for x
    x = 1,901,977,594.80/40,976.50
  6. Step 6: Final answer
    x = 46,416.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.