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Finding the Fourth Proportional to 48,846.80, 73,356.60 and 37,780.40

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Solution

The fourth proportional to 48,846.80, 73,356.60 and 37,780.40 is: 56,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,846.80 : 73,356.60 = 37,780.40 : x
  2. Step 2: Convert to fraction form
    48,846.80/73,356.60 = 37,780.40/x
  3. Step 3: Cross multiply
    48,846.80x = 73,356.60 × 37,780.40
  4. Step 4: Simplify right side
    48,846.80x = 2,771,441,690.64
  5. Step 5: Solve for x
    x = 2,771,441,690.64/48,846.80
  6. Step 6: Final answer
    x = 56,737.43

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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.