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Finding the Fourth Proportional to 45,797.47, 68,706.06 and 14,206.90

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Solution

The fourth proportional to 45,797.47, 68,706.06 and 14,206.90 is: 21,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,797.47 : 68,706.06 = 14,206.90 : x
  2. Step 2: Convert to fraction form
    45,797.47/68,706.06 = 14,206.90/x
  3. Step 3: Cross multiply
    45,797.47x = 68,706.06 × 14,206.90
  4. Step 4: Simplify right side
    45,797.47x = 976,100,123.81
  5. Step 5: Solve for x
    x = 976,100,123.81/45,797.47
  6. Step 6: Final answer
    x = 21,313.41

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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.