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Finding the Fourth Proportional to 51,810.38, 71,498.32 and 29,454.38

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Solution

The fourth proportional to 51,810.38, 71,498.32 and 29,454.38 is: 40,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.38 : 71,498.32 = 29,454.38 : x
  2. Step 2: Convert to fraction form
    51,810.38/71,498.32 = 29,454.38/x
  3. Step 3: Cross multiply
    51,810.38x = 71,498.32 × 29,454.38
  4. Step 4: Simplify right side
    51,810.38x = 2,105,938,255.51
  5. Step 5: Solve for x
    x = 2,105,938,255.51/51,810.38
  6. Step 6: Final answer
    x = 40,647.04

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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.