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Finding the Fourth Proportional to 73,823.60, 110,735.40 and 29,457.20

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Solution

The fourth proportional to 73,823.60, 110,735.40 and 29,457.20 is: 44,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823.60 : 110,735.40 = 29,457.20 : x
  2. Step 2: Convert to fraction form
    73,823.60/110,735.40 = 29,457.20/x
  3. Step 3: Cross multiply
    73,823.60x = 110,735.40 × 29,457.20
  4. Step 4: Simplify right side
    73,823.60x = 3,261,954,824.88
  5. Step 5: Solve for x
    x = 3,261,954,824.88/73,823.60
  6. Step 6: Final answer
    x = 44,185.80

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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.