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Finding the Fourth Proportional to 32,083.68, 48,132.72 and 11,307.36

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Solution

The fourth proportional to 32,083.68, 48,132.72 and 11,307.36 is: 16,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.68 : 48,132.72 = 11,307.36 : x
  2. Step 2: Convert to fraction form
    32,083.68/48,132.72 = 11,307.36/x
  3. Step 3: Cross multiply
    32,083.68x = 48,132.72 × 11,307.36
  4. Step 4: Simplify right side
    32,083.68x = 544,253,992.82
  5. Step 5: Solve for x
    x = 544,253,992.82/32,083.68
  6. Step 6: Final answer
    x = 16,963.58

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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.