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Finding the Fourth Proportional to 71,343.60, 98,457.72 and 41,133.84

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Solution

The fourth proportional to 71,343.60, 98,457.72 and 41,133.84 is: 56,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343.60 : 98,457.72 = 41,133.84 : x
  2. Step 2: Convert to fraction form
    71,343.60/98,457.72 = 41,133.84/x
  3. Step 3: Cross multiply
    71,343.60x = 98,457.72 × 41,133.84
  4. Step 4: Simplify right side
    71,343.60x = 4,049,944,101.24
  5. Step 5: Solve for x
    x = 4,049,944,101.24/71,343.60
  6. Step 6: Final answer
    x = 56,766.75

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Why These Related Problems?

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