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Finding the Fourth Proportional to 53,200.34, 73,415.07 and 29,327.12

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Solution

The fourth proportional to 53,200.34, 73,415.07 and 29,327.12 is: 40,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.34 : 73,415.07 = 29,327.12 : x
  2. Step 2: Convert to fraction form
    53,200.34/73,415.07 = 29,327.12/x
  3. Step 3: Cross multiply
    53,200.34x = 73,415.07 × 29,327.12
  4. Step 4: Simplify right side
    53,200.34x = 2,153,052,567.70
  5. Step 5: Solve for x
    x = 2,153,052,567.70/53,200.34
  6. Step 6: Final answer
    x = 40,470.65

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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.