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Finding the Fourth Proportional to 37,913, 56,869.50 and 10,211

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Solution

The fourth proportional to 37,913, 56,869.50 and 10,211 is: 15,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,913 : 56,869.50 = 10,211 : x
  2. Step 2: Convert to fraction form
    37,913/56,869.50 = 10,211/x
  3. Step 3: Cross multiply
    37,913x = 56,869.50 × 10,211
  4. Step 4: Simplify right side
    37,913x = 580,694,464.50
  5. Step 5: Solve for x
    x = 580,694,464.50/37,913
  6. Step 6: Final answer
    x = 15,316.50

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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.