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Finding the Fourth Proportional to 53,588.94, 73,952.61 and 29,715

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Solution

The fourth proportional to 53,588.94, 73,952.61 and 29,715 is: 41,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,588.94 : 73,952.61 = 29,715 : x
  2. Step 2: Convert to fraction form
    53,588.94/73,952.61 = 29,715/x
  3. Step 3: Cross multiply
    53,588.94x = 73,952.61 × 29,715
  4. Step 4: Simplify right side
    53,588.94x = 2,197,501,806.15
  5. Step 5: Solve for x
    x = 2,197,501,806.15/53,588.94
  6. Step 6: Final answer
    x = 41,006.63

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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.