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Finding the Fourth Proportional to 37,378.50, 56,068.83 and 9,676.50

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Solution

The fourth proportional to 37,378.50, 56,068.83 and 9,676.50 is: 14,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,378.50 : 56,068.83 = 9,676.50 : x
  2. Step 2: Convert to fraction form
    37,378.50/56,068.83 = 9,676.50/x
  3. Step 3: Cross multiply
    37,378.50x = 56,068.83 × 9,676.50
  4. Step 4: Simplify right side
    37,378.50x = 542,550,033.50
  5. Step 5: Solve for x
    x = 542,550,033.50/37,378.50
  6. Step 6: Final answer
    x = 14,515.03

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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.