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Finding the Fourth Proportional to 49,644, 68,507.82 and 28,133.64

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Solution

The fourth proportional to 49,644, 68,507.82 and 28,133.64 is: 38,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 68,507.82 = 28,133.64 : x
  2. Step 2: Convert to fraction form
    49,644/68,507.82 = 28,133.64/x
  3. Step 3: Cross multiply
    49,644x = 68,507.82 × 28,133.64
  4. Step 4: Simplify right side
    49,644x = 1,927,374,345.06
  5. Step 5: Solve for x
    x = 1,927,374,345.06/49,644
  6. Step 6: Final answer
    x = 38,823.91

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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.