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Finding the Fourth Proportional to 34,240.29, 47,142.57 and 30,203.65

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Solution

The fourth proportional to 34,240.29, 47,142.57 and 30,203.65 is: 41,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240.29 : 47,142.57 = 30,203.65 : x
  2. Step 2: Convert to fraction form
    34,240.29/47,142.57 = 30,203.65/x
  3. Step 3: Cross multiply
    34,240.29x = 47,142.57 × 30,203.65
  4. Step 4: Simplify right side
    34,240.29x = 1,423,877,684.38
  5. Step 5: Solve for x
    x = 1,423,877,684.38/34,240.29
  6. Step 6: Final answer
    x = 41,584.86

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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.