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Finding the Fourth Proportional to 32,307.11, 48,462.98 and 8,614.53

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Solution

The fourth proportional to 32,307.11, 48,462.98 and 8,614.53 is: 12,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.11 : 48,462.98 = 8,614.53 : x
  2. Step 2: Convert to fraction form
    32,307.11/48,462.98 = 8,614.53/x
  3. Step 3: Cross multiply
    32,307.11x = 48,462.98 × 8,614.53
  4. Step 4: Simplify right side
    32,307.11x = 417,485,916.26
  5. Step 5: Solve for x
    x = 417,485,916.26/32,307.11
  6. Step 6: Final answer
    x = 12,922.42

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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.