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Finding the Fourth Proportional to 45,870, 68,816.56 and 13,038

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Solution

The fourth proportional to 45,870, 68,816.56 and 13,038 is: 19,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,870 : 68,816.56 = 13,038 : x
  2. Step 2: Convert to fraction form
    45,870/68,816.56 = 13,038/x
  3. Step 3: Cross multiply
    45,870x = 68,816.56 × 13,038
  4. Step 4: Simplify right side
    45,870x = 897,230,309.28
  5. Step 5: Solve for x
    x = 897,230,309.28/45,870
  6. Step 6: Final answer
    x = 19,560.29

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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.