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Finding the Fourth Proportional to 29,742.92, 41,044.96 and 16,313.93

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Solution

The fourth proportional to 29,742.92, 41,044.96 and 16,313.93 is: 22,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.92 : 41,044.96 = 16,313.93 : x
  2. Step 2: Convert to fraction form
    29,742.92/41,044.96 = 16,313.93/x
  3. Step 3: Cross multiply
    29,742.92x = 41,044.96 × 16,313.93
  4. Step 4: Simplify right side
    29,742.92x = 669,604,573.38
  5. Step 5: Solve for x
    x = 669,604,573.38/29,742.92
  6. Step 6: Final answer
    x = 22,513.08

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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.