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Finding the Fourth Proportional to 29,415.42, 40,592.07 and 16,838.46

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Solution

The fourth proportional to 29,415.42, 40,592.07 and 16,838.46 is: 23,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,415.42 : 40,592.07 = 16,838.46 : x
  2. Step 2: Convert to fraction form
    29,415.42/40,592.07 = 16,838.46/x
  3. Step 3: Cross multiply
    29,415.42x = 40,592.07 × 16,838.46
  4. Step 4: Simplify right side
    29,415.42x = 683,507,947.01
  5. Step 5: Solve for x
    x = 683,507,947.01/29,415.42
  6. Step 6: Final answer
    x = 23,236.38

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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.