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Finding the Fourth Proportional to 48,838.30, 73,257.45 and 38,340.70

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Solution

The fourth proportional to 48,838.30, 73,257.45 and 38,340.70 is: 57,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,838.30 : 73,257.45 = 38,340.70 : x
  2. Step 2: Convert to fraction form
    48,838.30/73,257.45 = 38,340.70/x
  3. Step 3: Cross multiply
    48,838.30x = 73,257.45 × 38,340.70
  4. Step 4: Simplify right side
    48,838.30x = 2,808,741,913.22
  5. Step 5: Solve for x
    x = 2,808,741,913.22/48,838.30
  6. Step 6: Final answer
    x = 57,511.05

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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.