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Finding the Fourth Proportional to 51,810.78, 71,498.52 and 29,454.78

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Solution

The fourth proportional to 51,810.78, 71,498.52 and 29,454.78 is: 40,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.78 : 71,498.52 = 29,454.78 : x
  2. Step 2: Convert to fraction form
    51,810.78/71,498.52 = 29,454.78/x
  3. Step 3: Cross multiply
    51,810.78x = 71,498.52 × 29,454.78
  4. Step 4: Simplify right side
    51,810.78x = 2,105,973,176.93
  5. Step 5: Solve for x
    x = 2,105,973,176.93/51,810.78
  6. Step 6: Final answer
    x = 40,647.39

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