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Finding the Fourth Proportional to 30,563.20, 45,909.60 and 29,461.60

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Solution

The fourth proportional to 30,563.20, 45,909.60 and 29,461.60 is: 44,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.20 : 45,909.60 = 29,461.60 : x
  2. Step 2: Convert to fraction form
    30,563.20/45,909.60 = 29,461.60/x
  3. Step 3: Cross multiply
    30,563.20x = 45,909.60 × 29,461.60
  4. Step 4: Simplify right side
    30,563.20x = 1,352,570,271.36
  5. Step 5: Solve for x
    x = 1,352,570,271.36/30,563.20
  6. Step 6: Final answer
    x = 44,254.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.