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Finding the Fourth Proportional to 30,234.20, 45,261.70 and 22,477.40

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Solution

The fourth proportional to 30,234.20, 45,261.70 and 22,477.40 is: 33,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.20 : 45,261.70 = 22,477.40 : x
  2. Step 2: Convert to fraction form
    30,234.20/45,261.70 = 22,477.40/x
  3. Step 3: Cross multiply
    30,234.20x = 45,261.70 × 22,477.40
  4. Step 4: Simplify right side
    30,234.20x = 1,017,365,335.58
  5. Step 5: Solve for x
    x = 1,017,365,335.58/30,234.20
  6. Step 6: Final answer
    x = 33,649.49

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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.