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Finding the Fourth Proportional to 53,091.61, 73,262.64 and 31,580.17

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Solution

The fourth proportional to 53,091.61, 73,262.64 and 31,580.17 is: 43,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091.61 : 73,262.64 = 31,580.17 : x
  2. Step 2: Convert to fraction form
    53,091.61/73,262.64 = 31,580.17/x
  3. Step 3: Cross multiply
    53,091.61x = 73,262.64 × 31,580.17
  4. Step 4: Simplify right side
    53,091.61x = 2,313,646,521.64
  5. Step 5: Solve for x
    x = 2,313,646,521.64/53,091.61
  6. Step 6: Final answer
    x = 43,578.39

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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.