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Finding the Fourth Proportional to 29,246.86, 43,870.63 and 8,185.65

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Solution

The fourth proportional to 29,246.86, 43,870.63 and 8,185.65 is: 12,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,246.86 : 43,870.63 = 8,185.65 : x
  2. Step 2: Convert to fraction form
    29,246.86/43,870.63 = 8,185.65/x
  3. Step 3: Cross multiply
    29,246.86x = 43,870.63 × 8,185.65
  4. Step 4: Simplify right side
    29,246.86x = 359,109,622.46
  5. Step 5: Solve for x
    x = 359,109,622.46/29,246.86
  6. Step 6: Final answer
    x = 12,278.57

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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.