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Finding the Fourth Proportional to 45,688.50, 68,542.83 and 19,415.70

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Solution

The fourth proportional to 45,688.50, 68,542.83 and 19,415.70 is: 29,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688.50 : 68,542.83 = 19,415.70 : x
  2. Step 2: Convert to fraction form
    45,688.50/68,542.83 = 19,415.70/x
  3. Step 3: Cross multiply
    45,688.50x = 68,542.83 × 19,415.70
  4. Step 4: Simplify right side
    45,688.50x = 1,330,807,024.43
  5. Step 5: Solve for x
    x = 1,330,807,024.43/45,688.50
  6. Step 6: Final answer
    x = 29,127.83

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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.