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Finding the Fourth Proportional to 52,572.20, 78,728.70 and 34,946.60

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Solution

The fourth proportional to 52,572.20, 78,728.70 and 34,946.60 is: 52,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572.20 : 78,728.70 = 34,946.60 : x
  2. Step 2: Convert to fraction form
    52,572.20/78,728.70 = 34,946.60/x
  3. Step 3: Cross multiply
    52,572.20x = 78,728.70 × 34,946.60
  4. Step 4: Simplify right side
    52,572.20x = 2,751,300,387.42
  5. Step 5: Solve for x
    x = 2,751,300,387.42/52,572.20
  6. Step 6: Final answer
    x = 52,333.75

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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.