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Finding the Fourth Proportional to 42,616.40, 63,809.40 and 33,400.40

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Solution

The fourth proportional to 42,616.40, 63,809.40 and 33,400.40 is: 50,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616.40 : 63,809.40 = 33,400.40 : x
  2. Step 2: Convert to fraction form
    42,616.40/63,809.40 = 33,400.40/x
  3. Step 3: Cross multiply
    42,616.40x = 63,809.40 × 33,400.40
  4. Step 4: Simplify right side
    42,616.40x = 2,131,259,483.76
  5. Step 5: Solve for x
    x = 2,131,259,483.76/42,616.40
  6. Step 6: Final answer
    x = 50,010.31

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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.