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Finding the Fourth Proportional to 29,154.84, 43,724.96 and 8,378.34

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Solution

The fourth proportional to 29,154.84, 43,724.96 and 8,378.34 is: 12,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154.84 : 43,724.96 = 8,378.34 : x
  2. Step 2: Convert to fraction form
    29,154.84/43,724.96 = 8,378.34/x
  3. Step 3: Cross multiply
    29,154.84x = 43,724.96 × 8,378.34
  4. Step 4: Simplify right side
    29,154.84x = 366,342,581.37
  5. Step 5: Solve for x
    x = 366,342,581.37/29,154.84
  6. Step 6: Final answer
    x = 12,565.41

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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.