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Finding the Fourth Proportional to 51,200.40, 70,633.80 and 29,967.60

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Solution

The fourth proportional to 51,200.40, 70,633.80 and 29,967.60 is: 41,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200.40 : 70,633.80 = 29,967.60 : x
  2. Step 2: Convert to fraction form
    51,200.40/70,633.80 = 29,967.60/x
  3. Step 3: Cross multiply
    51,200.40x = 70,633.80 × 29,967.60
  4. Step 4: Simplify right side
    51,200.40x = 2,116,725,464.88
  5. Step 5: Solve for x
    x = 2,116,725,464.88/51,200.40
  6. Step 6: Final answer
    x = 41,341.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.