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Finding the Fourth Proportional to 53,771.50, 74,201.16 and 29,897.30

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Solution

The fourth proportional to 53,771.50, 74,201.16 and 29,897.30 is: 41,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,771.50 : 74,201.16 = 29,897.30 : x
  2. Step 2: Convert to fraction form
    53,771.50/74,201.16 = 29,897.30/x
  3. Step 3: Cross multiply
    53,771.50x = 74,201.16 × 29,897.30
  4. Step 4: Simplify right side
    53,771.50x = 2,218,414,340.87
  5. Step 5: Solve for x
    x = 2,218,414,340.87/53,771.50
  6. Step 6: Final answer
    x = 41,256.32

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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.