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Finding the Fourth Proportional to 53,282.29, 73,524.32 and 29,407.42

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Solution

The fourth proportional to 53,282.29, 73,524.32 and 29,407.42 is: 40,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,282.29 : 73,524.32 = 29,407.42 : x
  2. Step 2: Convert to fraction form
    53,282.29/73,524.32 = 29,407.42/x
  3. Step 3: Cross multiply
    53,282.29x = 73,524.32 × 29,407.42
  4. Step 4: Simplify right side
    53,282.29x = 2,162,160,227.61
  5. Step 5: Solve for x
    x = 2,162,160,227.61/53,282.29
  6. Step 6: Final answer
    x = 40,579.34

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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.