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Finding the Fourth Proportional to 54,650.40, 75,420.36 and 33,423

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Solution

The fourth proportional to 54,650.40, 75,420.36 and 33,423 is: 46,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650.40 : 75,420.36 = 33,423 : x
  2. Step 2: Convert to fraction form
    54,650.40/75,420.36 = 33,423/x
  3. Step 3: Cross multiply
    54,650.40x = 75,420.36 × 33,423
  4. Step 4: Simplify right side
    54,650.40x = 2,520,774,692.28
  5. Step 5: Solve for x
    x = 2,520,774,692.28/54,650.40
  6. Step 6: Final answer
    x = 46,125.46

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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.