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Finding the Fourth Proportional to 53,170.40, 73,378.50 and 29,297.06

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Solution

The fourth proportional to 53,170.40, 73,378.50 and 29,297.06 is: 40,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,170.40 : 73,378.50 = 29,297.06 : x
  2. Step 2: Convert to fraction form
    53,170.40/73,378.50 = 29,297.06/x
  3. Step 3: Cross multiply
    53,170.40x = 73,378.50 × 29,297.06
  4. Step 4: Simplify right side
    53,170.40x = 2,149,774,317.21
  5. Step 5: Solve for x
    x = 2,149,774,317.21/53,170.40
  6. Step 6: Final answer
    x = 40,431.79

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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.