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Finding the Fourth Proportional to 45,846.74, 68,756.09 and 31,706.13

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Solution

The fourth proportional to 45,846.74, 68,756.09 and 31,706.13 is: 47,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,846.74 : 68,756.09 = 31,706.13 : x
  2. Step 2: Convert to fraction form
    45,846.74/68,756.09 = 31,706.13/x
  3. Step 3: Cross multiply
    45,846.74x = 68,756.09 × 31,706.13
  4. Step 4: Simplify right side
    45,846.74x = 2,179,989,104.79
  5. Step 5: Solve for x
    x = 2,179,989,104.79/45,846.74
  6. Step 6: Final answer
    x = 47,549.50

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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.