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Finding the Fourth Proportional to 41,640.76, 62,461.17 and 10,476

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Solution

The fourth proportional to 41,640.76, 62,461.17 and 10,476 is: 15,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640.76 : 62,461.17 = 10,476 : x
  2. Step 2: Convert to fraction form
    41,640.76/62,461.17 = 10,476/x
  3. Step 3: Cross multiply
    41,640.76x = 62,461.17 × 10,476
  4. Step 4: Simplify right side
    41,640.76x = 654,343,216.92
  5. Step 5: Solve for x
    x = 654,343,216.92/41,640.76
  6. Step 6: Final answer
    x = 15,714.01

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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.