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Finding the Fourth Proportional to 29,741.38, 41,042.82 and 16,312.69

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Solution

The fourth proportional to 29,741.38, 41,042.82 and 16,312.69 is: 22,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.38 : 41,042.82 = 16,312.69 : x
  2. Step 2: Convert to fraction form
    29,741.38/41,042.82 = 16,312.69/x
  3. Step 3: Cross multiply
    29,741.38x = 41,042.82 × 16,312.69
  4. Step 4: Simplify right side
    29,741.38x = 669,518,776.26
  5. Step 5: Solve for x
    x = 669,518,776.26/29,741.38
  6. Step 6: Final answer
    x = 22,511.35

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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.