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Finding the Fourth Proportional to 31,098.70, 46,634.01 and 8,907

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Solution

The fourth proportional to 31,098.70, 46,634.01 and 8,907 is: 13,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.70 : 46,634.01 = 8,907 : x
  2. Step 2: Convert to fraction form
    31,098.70/46,634.01 = 8,907/x
  3. Step 3: Cross multiply
    31,098.70x = 46,634.01 × 8,907
  4. Step 4: Simplify right side
    31,098.70x = 415,369,127.07
  5. Step 5: Solve for x
    x = 415,369,127.07/31,098.70
  6. Step 6: Final answer
    x = 13,356.48

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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.