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Finding the Fourth Proportional to 53,521.36, 73,853.46 and 29,642

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Solution

The fourth proportional to 53,521.36, 73,853.46 and 29,642 is: 40,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,521.36 : 73,853.46 = 29,642 : x
  2. Step 2: Convert to fraction form
    53,521.36/73,853.46 = 29,642/x
  3. Step 3: Cross multiply
    53,521.36x = 73,853.46 × 29,642
  4. Step 4: Simplify right side
    53,521.36x = 2,189,164,261.32
  5. Step 5: Solve for x
    x = 2,189,164,261.32/53,521.36
  6. Step 6: Final answer
    x = 40,902.63

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