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Finding the Fourth Proportional to 52,003.40, 78,062.70 and 48,619.40

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Solution

The fourth proportional to 52,003.40, 78,062.70 and 48,619.40 is: 72,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.40 : 78,062.70 = 48,619.40 : x
  2. Step 2: Convert to fraction form
    52,003.40/78,062.70 = 48,619.40/x
  3. Step 3: Cross multiply
    52,003.40x = 78,062.70 × 48,619.40
  4. Step 4: Simplify right side
    52,003.40x = 3,795,361,636.38
  5. Step 5: Solve for x
    x = 3,795,361,636.38/52,003.40
  6. Step 6: Final answer
    x = 72,982.95

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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.