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Finding the Fourth Proportional to 31,210.98, 46,816 and 10,151.98

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Solution

The fourth proportional to 31,210.98, 46,816 and 10,151.98 is: 15,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.98 : 46,816 = 10,151.98 : x
  2. Step 2: Convert to fraction form
    31,210.98/46,816 = 10,151.98/x
  3. Step 3: Cross multiply
    31,210.98x = 46,816 × 10,151.98
  4. Step 4: Simplify right side
    31,210.98x = 475,275,095.68
  5. Step 5: Solve for x
    x = 475,275,095.68/31,210.98
  6. Step 6: Final answer
    x = 15,227.82

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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.