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Finding the Fourth Proportional to 37,582.50, 56,377.08 and 9,880.50

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Solution

The fourth proportional to 37,582.50, 56,377.08 and 9,880.50 is: 14,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,582.50 : 56,377.08 = 9,880.50 : x
  2. Step 2: Convert to fraction form
    37,582.50/56,377.08 = 9,880.50/x
  3. Step 3: Cross multiply
    37,582.50x = 56,377.08 × 9,880.50
  4. Step 4: Simplify right side
    37,582.50x = 557,033,738.94
  5. Step 5: Solve for x
    x = 557,033,738.94/37,582.50
  6. Step 6: Final answer
    x = 14,821.63

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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.