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Finding the Fourth Proportional to 38,309.16, 52,892.82 and 29,340.84

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Solution

The fourth proportional to 38,309.16, 52,892.82 and 29,340.84 is: 40,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.16 : 52,892.82 = 29,340.84 : x
  2. Step 2: Convert to fraction form
    38,309.16/52,892.82 = 29,340.84/x
  3. Step 3: Cross multiply
    38,309.16x = 52,892.82 × 29,340.84
  4. Step 4: Simplify right side
    38,309.16x = 1,551,919,768.77
  5. Step 5: Solve for x
    x = 1,551,919,768.77/38,309.16
  6. Step 6: Final answer
    x = 40,510.41

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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.