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Finding the Fourth Proportional to 35,743.42, 49,327.54 and 19,827.89

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Solution

The fourth proportional to 35,743.42, 49,327.54 and 19,827.89 is: 27,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.42 : 49,327.54 = 19,827.89 : x
  2. Step 2: Convert to fraction form
    35,743.42/49,327.54 = 19,827.89/x
  3. Step 3: Cross multiply
    35,743.42x = 49,327.54 × 19,827.89
  4. Step 4: Simplify right side
    35,743.42x = 978,060,925.86
  5. Step 5: Solve for x
    x = 978,060,925.86/35,743.42
  6. Step 6: Final answer
    x = 27,363.38

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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.