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Finding the Fourth Proportional to 53,200.31, 73,416.94 and 29,327.84

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Solution

The fourth proportional to 53,200.31, 73,416.94 and 29,327.84 is: 40,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.31 : 73,416.94 = 29,327.84 : x
  2. Step 2: Convert to fraction form
    53,200.31/73,416.94 = 29,327.84/x
  3. Step 3: Cross multiply
    53,200.31x = 73,416.94 × 29,327.84
  4. Step 4: Simplify right side
    53,200.31x = 2,153,160,379.83
  5. Step 5: Solve for x
    x = 2,153,160,379.83/53,200.31
  6. Step 6: Final answer
    x = 40,472.70

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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.