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Finding the Fourth Proportional to 42,418.40, 63,608.40 and 16,114.40

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Solution

The fourth proportional to 42,418.40, 63,608.40 and 16,114.40 is: 24,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,418.40 : 63,608.40 = 16,114.40 : x
  2. Step 2: Convert to fraction form
    42,418.40/63,608.40 = 16,114.40/x
  3. Step 3: Cross multiply
    42,418.40x = 63,608.40 × 16,114.40
  4. Step 4: Simplify right side
    42,418.40x = 1,025,011,200.96
  5. Step 5: Solve for x
    x = 1,025,011,200.96/42,418.40
  6. Step 6: Final answer
    x = 24,164.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.