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Finding the Fourth Proportional to 51,178.32, 70,626.59 and 29,958.03

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Solution

The fourth proportional to 51,178.32, 70,626.59 and 29,958.03 is: 41,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,178.32 : 70,626.59 = 29,958.03 : x
  2. Step 2: Convert to fraction form
    51,178.32/70,626.59 = 29,958.03/x
  3. Step 3: Cross multiply
    51,178.32x = 70,626.59 × 29,958.03
  4. Step 4: Simplify right side
    51,178.32x = 2,115,833,352.23
  5. Step 5: Solve for x
    x = 2,115,833,352.23/51,178.32
  6. Step 6: Final answer
    x = 41,342.38

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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.