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Finding the Fourth Proportional to 32,083.88, 48,083.36 and 23,228.82

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Solution

The fourth proportional to 32,083.88, 48,083.36 and 23,228.82 is: 34,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.88 : 48,083.36 = 23,228.82 : x
  2. Step 2: Convert to fraction form
    32,083.88/48,083.36 = 23,228.82/x
  3. Step 3: Cross multiply
    32,083.88x = 48,083.36 × 23,228.82
  4. Step 4: Simplify right side
    32,083.88x = 1,116,919,598.29
  5. Step 5: Solve for x
    x = 1,116,919,598.29/32,083.88
  6. Step 6: Final answer
    x = 34,812.49

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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.