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Finding the Fourth Proportional to 52,046.96, 78,070.62 and 12,604

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Solution

The fourth proportional to 52,046.96, 78,070.62 and 12,604 is: 18,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.96 : 78,070.62 = 12,604 : x
  2. Step 2: Convert to fraction form
    52,046.96/78,070.62 = 12,604/x
  3. Step 3: Cross multiply
    52,046.96x = 78,070.62 × 12,604
  4. Step 4: Simplify right side
    52,046.96x = 984,002,094.48
  5. Step 5: Solve for x
    x = 984,002,094.48/52,046.96
  6. Step 6: Final answer
    x = 18,906.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.