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Finding the Fourth Proportional to 32,157.20, 48,235.80 and 11,382.80

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Solution

The fourth proportional to 32,157.20, 48,235.80 and 11,382.80 is: 17,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.20 : 48,235.80 = 11,382.80 : x
  2. Step 2: Convert to fraction form
    32,157.20/48,235.80 = 11,382.80/x
  3. Step 3: Cross multiply
    32,157.20x = 48,235.80 × 11,382.80
  4. Step 4: Simplify right side
    32,157.20x = 549,058,464.24
  5. Step 5: Solve for x
    x = 549,058,464.24/32,157.20
  6. Step 6: Final answer
    x = 17,074.20

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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.