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Finding the Fourth Proportional to 30,577.20, 45,865.80 and 29,410.80

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Solution

The fourth proportional to 30,577.20, 45,865.80 and 29,410.80 is: 44,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.20 : 45,865.80 = 29,410.80 : x
  2. Step 2: Convert to fraction form
    30,577.20/45,865.80 = 29,410.80/x
  3. Step 3: Cross multiply
    30,577.20x = 45,865.80 × 29,410.80
  4. Step 4: Simplify right side
    30,577.20x = 1,348,949,870.64
  5. Step 5: Solve for x
    x = 1,348,949,870.64/30,577.20
  6. Step 6: Final answer
    x = 44,116.20

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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.