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Finding the Fourth Proportional to 32,095.14, 48,145.14 and 8,721.24

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Solution

The fourth proportional to 32,095.14, 48,145.14 and 8,721.24 is: 13,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.14 : 48,145.14 = 8,721.24 : x
  2. Step 2: Convert to fraction form
    32,095.14/48,145.14 = 8,721.24/x
  3. Step 3: Cross multiply
    32,095.14x = 48,145.14 × 8,721.24
  4. Step 4: Simplify right side
    32,095.14x = 419,885,320.77
  5. Step 5: Solve for x
    x = 419,885,320.77/32,095.14
  6. Step 6: Final answer
    x = 13,082.52

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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.