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Finding the Fourth Proportional to 31,094.70, 46,630.44 and 10,029.44

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Solution

The fourth proportional to 31,094.70, 46,630.44 and 10,029.44 is: 15,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.70 : 46,630.44 = 10,029.44 : x
  2. Step 2: Convert to fraction form
    31,094.70/46,630.44 = 10,029.44/x
  3. Step 3: Cross multiply
    31,094.70x = 46,630.44 × 10,029.44
  4. Step 4: Simplify right side
    31,094.70x = 467,676,967.00
  5. Step 5: Solve for x
    x = 467,676,967.00/31,094.70
  6. Step 6: Final answer
    x = 15,040.41

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1.5x scale

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.