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Finding the Fourth Proportional to 35,741, 53,611.50 and 24,485.24

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Solution

The fourth proportional to 35,741, 53,611.50 and 24,485.24 is: 36,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741 : 53,611.50 = 24,485.24 : x
  2. Step 2: Convert to fraction form
    35,741/53,611.50 = 24,485.24/x
  3. Step 3: Cross multiply
    35,741x = 53,611.50 × 24,485.24
  4. Step 4: Simplify right side
    35,741x = 1,312,690,444.26
  5. Step 5: Solve for x
    x = 1,312,690,444.26/35,741
  6. Step 6: Final answer
    x = 36,727.86

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Why These Related Problems?

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