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Finding the Fourth Proportional to 32,464.58, 48,699.02 and 11,402.06

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Solution

The fourth proportional to 32,464.58, 48,699.02 and 11,402.06 is: 17,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.58 : 48,699.02 = 11,402.06 : x
  2. Step 2: Convert to fraction form
    32,464.58/48,699.02 = 11,402.06/x
  3. Step 3: Cross multiply
    32,464.58x = 48,699.02 × 11,402.06
  4. Step 4: Simplify right side
    32,464.58x = 555,268,932.99
  5. Step 5: Solve for x
    x = 555,268,932.99/32,464.58
  6. Step 6: Final answer
    x = 17,103.84

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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.