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Finding the Fourth Proportional to 29,415.13, 40,592.87 and 16,842.31

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Solution

The fourth proportional to 29,415.13, 40,592.87 and 16,842.31 is: 23,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,415.13 : 40,592.87 = 16,842.31 : x
  2. Step 2: Convert to fraction form
    29,415.13/40,592.87 = 16,842.31/x
  3. Step 3: Cross multiply
    29,415.13x = 40,592.87 × 16,842.31
  4. Step 4: Simplify right side
    29,415.13x = 683,677,700.33
  5. Step 5: Solve for x
    x = 683,677,700.33/29,415.13
  6. Step 6: Final answer
    x = 23,242.38

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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.