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Finding the Fourth Proportional to 29,342.83, 40,492.83 and 15,914.38

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Solution

The fourth proportional to 29,342.83, 40,492.83 and 15,914.38 is: 21,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,342.83 : 40,492.83 = 15,914.38 : x
  2. Step 2: Convert to fraction form
    29,342.83/40,492.83 = 15,914.38/x
  3. Step 3: Cross multiply
    29,342.83x = 40,492.83 × 15,914.38
  4. Step 4: Simplify right side
    29,342.83x = 644,418,283.90
  5. Step 5: Solve for x
    x = 644,418,283.90/29,342.83
  6. Step 6: Final answer
    x = 21,961.70

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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.