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Finding the Fourth Proportional to 75,435.80, 113,024.10 and 35,907.80

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Solution

The fourth proportional to 75,435.80, 113,024.10 and 35,907.80 is: 53,800.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435.80 : 113,024.10 = 35,907.80 : x
  2. Step 2: Convert to fraction form
    75,435.80/113,024.10 = 35,907.80/x
  3. Step 3: Cross multiply
    75,435.80x = 113,024.10 × 35,907.80
  4. Step 4: Simplify right side
    75,435.80x = 4,058,446,777.98
  5. Step 5: Solve for x
    x = 4,058,446,777.98/75,435.80
  6. Step 6: Final answer
    x = 53,800.01

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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.