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Finding the Fourth Proportional to 45,741.68, 68,602.92 and 12,902

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Solution

The fourth proportional to 45,741.68, 68,602.92 and 12,902 is: 19,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,741.68 : 68,602.92 = 12,902 : x
  2. Step 2: Convert to fraction form
    45,741.68/68,602.92 = 12,902/x
  3. Step 3: Cross multiply
    45,741.68x = 68,602.92 × 12,902
  4. Step 4: Simplify right side
    45,741.68x = 885,114,873.84
  5. Step 5: Solve for x
    x = 885,114,873.84/45,741.68
  6. Step 6: Final answer
    x = 19,350.29

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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.