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Finding the Fourth Proportional to 32,214.24, 48,322.80 and 8,840.88

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Solution

The fourth proportional to 32,214.24, 48,322.80 and 8,840.88 is: 13,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.24 : 48,322.80 = 8,840.88 : x
  2. Step 2: Convert to fraction form
    32,214.24/48,322.80 = 8,840.88/x
  3. Step 3: Cross multiply
    32,214.24x = 48,322.80 × 8,840.88
  4. Step 4: Simplify right side
    32,214.24x = 427,216,076.06
  5. Step 5: Solve for x
    x = 427,216,076.06/32,214.24
  6. Step 6: Final answer
    x = 13,261.72

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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.