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Finding the Fourth Proportional to 123,410.33, 185,115.49 and 29,916.08

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Solution

The fourth proportional to 123,410.33, 185,115.49 and 29,916.08 is: 44,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.33 : 185,115.49 = 29,916.08 : x
  2. Step 2: Convert to fraction form
    123,410.33/185,115.49 = 29,916.08/x
  3. Step 3: Cross multiply
    123,410.33x = 185,115.49 × 29,916.08
  4. Step 4: Simplify right side
    123,410.33x = 5,537,929,808.08
  5. Step 5: Solve for x
    x = 5,537,929,808.08/123,410.33
  6. Step 6: Final answer
    x = 44,874.12

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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.