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Finding the Fourth Proportional to 32,135.70, 48,159.60 and 20,427.96

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Solution

The fourth proportional to 32,135.70, 48,159.60 and 20,427.96 is: 30,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.70 : 48,159.60 = 20,427.96 : x
  2. Step 2: Convert to fraction form
    32,135.70/48,159.60 = 20,427.96/x
  3. Step 3: Cross multiply
    32,135.70x = 48,159.60 × 20,427.96
  4. Step 4: Simplify right side
    32,135.70x = 983,802,382.42
  5. Step 5: Solve for x
    x = 983,802,382.42/32,135.70
  6. Step 6: Final answer
    x = 30,614.00

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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.