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Finding the Fourth Proportional to 37,912, 56,868 and 10,210

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Solution

The fourth proportional to 37,912, 56,868 and 10,210 is: 15,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,912 : 56,868 = 10,210 : x
  2. Step 2: Convert to fraction form
    37,912/56,868 = 10,210/x
  3. Step 3: Cross multiply
    37,912x = 56,868 × 10,210
  4. Step 4: Simplify right side
    37,912x = 580,622,280
  5. Step 5: Solve for x
    x = 580,622,280/37,912
  6. Step 6: Final answer
    x = 15,315

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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.