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Finding the Fourth Proportional to 32,184.72, 48,277.05 and 11,393.64

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Solution

The fourth proportional to 32,184.72, 48,277.05 and 11,393.64 is: 17,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.72 : 48,277.05 = 11,393.64 : x
  2. Step 2: Convert to fraction form
    32,184.72/48,277.05 = 11,393.64/x
  3. Step 3: Cross multiply
    32,184.72x = 48,277.05 × 11,393.64
  4. Step 4: Simplify right side
    32,184.72x = 550,051,327.96
  5. Step 5: Solve for x
    x = 550,051,327.96/32,184.72
  6. Step 6: Final answer
    x = 17,090.45

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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.