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Finding the Fourth Proportional to 31,048, 46,576.86 and 10,276.36

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Solution

The fourth proportional to 31,048, 46,576.86 and 10,276.36 is: 15,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048 : 46,576.86 = 10,276.36 : x
  2. Step 2: Convert to fraction form
    31,048/46,576.86 = 10,276.36/x
  3. Step 3: Cross multiply
    31,048x = 46,576.86 × 10,276.36
  4. Step 4: Simplify right side
    31,048x = 478,640,581.03
  5. Step 5: Solve for x
    x = 478,640,581.03/31,048
  6. Step 6: Final answer
    x = 15,416.15

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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.