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Finding the Fourth Proportional to 31,407.70, 44,029.10 and 31,407.70

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Solution

The fourth proportional to 31,407.70, 44,029.10 and 31,407.70 is: 44,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.70 : 44,029.10 = 31,407.70 : x
  2. Step 2: Convert to fraction form
    31,407.70/44,029.10 = 31,407.70/x
  3. Step 3: Cross multiply
    31,407.70x = 44,029.10 × 31,407.70
  4. Step 4: Simplify right side
    31,407.70x = 1,382,852,764.07
  5. Step 5: Solve for x
    x = 1,382,852,764.07/31,407.70
  6. Step 6: Final answer
    x = 44,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.