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Finding the Fourth Proportional to 129,633.48, 194,457.24 and 40,893.66

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Solution

The fourth proportional to 129,633.48, 194,457.24 and 40,893.66 is: 61,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,633.48 : 194,457.24 = 40,893.66 : x
  2. Step 2: Convert to fraction form
    129,633.48/194,457.24 = 40,893.66/x
  3. Step 3: Cross multiply
    129,633.48x = 194,457.24 × 40,893.66
  4. Step 4: Simplify right side
    129,633.48x = 7,952,068,257.10
  5. Step 5: Solve for x
    x = 7,952,068,257.10/129,633.48
  6. Step 6: Final answer
    x = 61,342.70

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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.