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Finding the Fourth Proportional to 102,539.64, 153,808.50 and 32,418.96

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Solution

The fourth proportional to 102,539.64, 153,808.50 and 32,418.96 is: 48,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,539.64 : 153,808.50 = 32,418.96 : x
  2. Step 2: Convert to fraction form
    102,539.64/153,808.50 = 32,418.96/x
  3. Step 3: Cross multiply
    102,539.64x = 153,808.50 × 32,418.96
  4. Step 4: Simplify right side
    102,539.64x = 4,986,311,609.16
  5. Step 5: Solve for x
    x = 4,986,311,609.16/102,539.64
  6. Step 6: Final answer
    x = 48,628.14

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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.