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Finding the Fourth Proportional to 29,763.72, 41,070.93 and 17,826.75

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Solution

The fourth proportional to 29,763.72, 41,070.93 and 17,826.75 is: 24,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763.72 : 41,070.93 = 17,826.75 : x
  2. Step 2: Convert to fraction form
    29,763.72/41,070.93 = 17,826.75/x
  3. Step 3: Cross multiply
    29,763.72x = 41,070.93 × 17,826.75
  4. Step 4: Simplify right side
    29,763.72x = 732,161,201.38
  5. Step 5: Solve for x
    x = 732,161,201.38/29,763.72
  6. Step 6: Final answer
    x = 24,599.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.