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Finding the Fourth Proportional to 35,644.86, 49,192.38 and 21,305.16

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Solution

The fourth proportional to 35,644.86, 49,192.38 and 21,305.16 is: 29,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.86 : 49,192.38 = 21,305.16 : x
  2. Step 2: Convert to fraction form
    35,644.86/49,192.38 = 21,305.16/x
  3. Step 3: Cross multiply
    35,644.86x = 49,192.38 × 21,305.16
  4. Step 4: Simplify right side
    35,644.86x = 1,048,051,526.68
  5. Step 5: Solve for x
    x = 1,048,051,526.68/35,644.86
  6. Step 6: Final answer
    x = 29,402.60

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Why These Related Problems?

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