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Finding the Fourth Proportional to 32,421.44, 48,596 and 13,695.84

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Solution

The fourth proportional to 32,421.44, 48,596 and 13,695.84 is: 20,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,421.44 : 48,596 = 13,695.84 : x
  2. Step 2: Convert to fraction form
    32,421.44/48,596 = 13,695.84/x
  3. Step 3: Cross multiply
    32,421.44x = 48,596 × 13,695.84
  4. Step 4: Simplify right side
    32,421.44x = 665,563,040.64
  5. Step 5: Solve for x
    x = 665,563,040.64/32,421.44
  6. Step 6: Final answer
    x = 20,528.48

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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.