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Finding the Fourth Proportional to 32,133.40, 48,185.70 and 14,594.20

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Solution

The fourth proportional to 32,133.40, 48,185.70 and 14,594.20 is: 21,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.40 : 48,185.70 = 14,594.20 : x
  2. Step 2: Convert to fraction form
    32,133.40/48,185.70 = 14,594.20/x
  3. Step 3: Cross multiply
    32,133.40x = 48,185.70 × 14,594.20
  4. Step 4: Simplify right side
    32,133.40x = 703,231,742.94
  5. Step 5: Solve for x
    x = 703,231,742.94/32,133.40
  6. Step 6: Final answer
    x = 21,884.76

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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.