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Finding the Fourth Proportional to 32,388.16, 48,472.51 and 19,916.09

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Solution

The fourth proportional to 32,388.16, 48,472.51 and 19,916.09 is: 29,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388.16 : 48,472.51 = 19,916.09 : x
  2. Step 2: Convert to fraction form
    32,388.16/48,472.51 = 19,916.09/x
  3. Step 3: Cross multiply
    32,388.16x = 48,472.51 × 19,916.09
  4. Step 4: Simplify right side
    32,388.16x = 965,382,579.53
  5. Step 5: Solve for x
    x = 965,382,579.53/32,388.16
  6. Step 6: Final answer
    x = 29,806.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.