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Finding the Fourth Proportional to 32,184.27, 48,268.98 and 12,457.53

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Solution

The fourth proportional to 32,184.27, 48,268.98 and 12,457.53 is: 18,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.27 : 48,268.98 = 12,457.53 : x
  2. Step 2: Convert to fraction form
    32,184.27/48,268.98 = 12,457.53/x
  3. Step 3: Cross multiply
    32,184.27x = 48,268.98 × 12,457.53
  4. Step 4: Simplify right side
    32,184.27x = 601,312,266.42
  5. Step 5: Solve for x
    x = 601,312,266.42/32,184.27
  6. Step 6: Final answer
    x = 18,683.42

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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.