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Finding the Fourth Proportional to 52,095.96, 78,166.62 and 20,515.68

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Solution

The fourth proportional to 52,095.96, 78,166.62 and 20,515.68 is: 30,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.96 : 78,166.62 = 20,515.68 : x
  2. Step 2: Convert to fraction form
    52,095.96/78,166.62 = 20,515.68/x
  3. Step 3: Cross multiply
    52,095.96x = 78,166.62 × 20,515.68
  4. Step 4: Simplify right side
    52,095.96x = 1,603,641,362.60
  5. Step 5: Solve for x
    x = 1,603,641,362.60/52,095.96
  6. Step 6: Final answer
    x = 30,782.45

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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.