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Finding the Fourth Proportional to 53,604.96, 74,000.24 and 35,729.76

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Solution

The fourth proportional to 53,604.96, 74,000.24 and 35,729.76 is: 49,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,604.96 : 74,000.24 = 35,729.76 : x
  2. Step 2: Convert to fraction form
    53,604.96/74,000.24 = 35,729.76/x
  3. Step 3: Cross multiply
    53,604.96x = 74,000.24 × 35,729.76
  4. Step 4: Simplify right side
    53,604.96x = 2,644,010,815.14
  5. Step 5: Solve for x
    x = 2,644,010,815.14/53,604.96
  6. Step 6: Final answer
    x = 49,324.00

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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.