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Finding the Fourth Proportional to 31,086, 46,627.74 and 8,898.48

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Solution

The fourth proportional to 31,086, 46,627.74 and 8,898.48 is: 13,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086 : 46,627.74 = 8,898.48 : x
  2. Step 2: Convert to fraction form
    31,086/46,627.74 = 8,898.48/x
  3. Step 3: Cross multiply
    31,086x = 46,627.74 × 8,898.48
  4. Step 4: Simplify right side
    31,086x = 414,916,011.84
  5. Step 5: Solve for x
    x = 414,916,011.84/31,086
  6. Step 6: Final answer
    x = 13,347.36

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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.