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Finding the Fourth Proportional to 52,114.88, 78,172.32 and 12,671.96

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Solution

The fourth proportional to 52,114.88, 78,172.32 and 12,671.96 is: 19,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.88 : 78,172.32 = 12,671.96 : x
  2. Step 2: Convert to fraction form
    52,114.88/78,172.32 = 12,671.96/x
  3. Step 3: Cross multiply
    52,114.88x = 78,172.32 × 12,671.96
  4. Step 4: Simplify right side
    52,114.88x = 990,596,512.15
  5. Step 5: Solve for x
    x = 990,596,512.15/52,114.88
  6. Step 6: Final answer
    x = 19,007.94

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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.