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Finding the Fourth Proportional to 52,497.28, 78,745.60 and 19,219.66

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Solution

The fourth proportional to 52,497.28, 78,745.60 and 19,219.66 is: 28,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.28 : 78,745.60 = 19,219.66 : x
  2. Step 2: Convert to fraction form
    52,497.28/78,745.60 = 19,219.66/x
  3. Step 3: Cross multiply
    52,497.28x = 78,745.60 × 19,219.66
  4. Step 4: Simplify right side
    52,497.28x = 1,513,463,658.50
  5. Step 5: Solve for x
    x = 1,513,463,658.50/52,497.28
  6. Step 6: Final answer
    x = 28,829.37

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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.