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Finding the Fourth Proportional to 32,095.33, 48,143.12 and 8,721.77

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Solution

The fourth proportional to 32,095.33, 48,143.12 and 8,721.77 is: 13,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.33 : 48,143.12 = 8,721.77 : x
  2. Step 2: Convert to fraction form
    32,095.33/48,143.12 = 8,721.77/x
  3. Step 3: Cross multiply
    32,095.33x = 48,143.12 × 8,721.77
  4. Step 4: Simplify right side
    32,095.33x = 419,892,935.40
  5. Step 5: Solve for x
    x = 419,892,935.40/32,095.33
  6. Step 6: Final answer
    x = 13,082.68

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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.