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Finding the Fourth Proportional to 57,645, 79,550.10 and 31,149

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Solution

The fourth proportional to 57,645, 79,550.10 and 31,149 is: 42,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645 : 79,550.10 = 31,149 : x
  2. Step 2: Convert to fraction form
    57,645/79,550.10 = 31,149/x
  3. Step 3: Cross multiply
    57,645x = 79,550.10 × 31,149
  4. Step 4: Simplify right side
    57,645x = 2,477,906,064.90
  5. Step 5: Solve for x
    x = 2,477,906,064.90/57,645
  6. Step 6: Final answer
    x = 42,985.62

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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.