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Finding the Fourth Proportional to 53,132.66, 73,301.06 and 31,618.09

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Solution

The fourth proportional to 53,132.66, 73,301.06 and 31,618.09 is: 43,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,132.66 : 73,301.06 = 31,618.09 : x
  2. Step 2: Convert to fraction form
    53,132.66/73,301.06 = 31,618.09/x
  3. Step 3: Cross multiply
    53,132.66x = 73,301.06 × 31,618.09
  4. Step 4: Simplify right side
    53,132.66x = 2,317,639,170.83
  5. Step 5: Solve for x
    x = 2,317,639,170.83/53,132.66
  6. Step 6: Final answer
    x = 43,619.86

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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.