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Finding the Fourth Proportional to 31,094.55, 46,648.98 and 8,908.11

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Solution

The fourth proportional to 31,094.55, 46,648.98 and 8,908.11 is: 13,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.55 : 46,648.98 = 8,908.11 : x
  2. Step 2: Convert to fraction form
    31,094.55/46,648.98 = 8,908.11/x
  3. Step 3: Cross multiply
    31,094.55x = 46,648.98 × 8,908.11
  4. Step 4: Simplify right side
    31,094.55x = 415,554,245.23
  5. Step 5: Solve for x
    x = 415,554,245.23/31,094.55
  6. Step 6: Final answer
    x = 13,364.21

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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.