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Finding the Fourth Proportional to 51,954.58, 71,698.11 and 29,294.68

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Solution

The fourth proportional to 51,954.58, 71,698.11 and 29,294.68 is: 40,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954.58 : 71,698.11 = 29,294.68 : x
  2. Step 2: Convert to fraction form
    51,954.58/71,698.11 = 29,294.68/x
  3. Step 3: Cross multiply
    51,954.58x = 71,698.11 × 29,294.68
  4. Step 4: Simplify right side
    51,954.58x = 2,100,373,009.81
  5. Step 5: Solve for x
    x = 2,100,373,009.81/51,954.58
  6. Step 6: Final answer
    x = 40,427.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.