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Finding the Fourth Proportional to 35,689.38, 53,529.85 and 10,729.41

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Solution

The fourth proportional to 35,689.38, 53,529.85 and 10,729.41 is: 16,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.38 : 53,529.85 = 10,729.41 : x
  2. Step 2: Convert to fraction form
    35,689.38/53,529.85 = 10,729.41/x
  3. Step 3: Cross multiply
    35,689.38x = 53,529.85 × 10,729.41
  4. Step 4: Simplify right side
    35,689.38x = 574,343,707.89
  5. Step 5: Solve for x
    x = 574,343,707.89/35,689.38
  6. Step 6: Final answer
    x = 16,092.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.