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Finding the Fourth Proportional to 105,588.54, 145,713.06 and 57,846.33

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Solution

The fourth proportional to 105,588.54, 145,713.06 and 57,846.33 is: 79,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,588.54 : 145,713.06 = 57,846.33 : x
  2. Step 2: Convert to fraction form
    105,588.54/145,713.06 = 57,846.33/x
  3. Step 3: Cross multiply
    105,588.54x = 145,713.06 × 57,846.33
  4. Step 4: Simplify right side
    105,588.54x = 8,428,965,754.07
  5. Step 5: Solve for x
    x = 8,428,965,754.07/105,588.54
  6. Step 6: Final answer
    x = 79,828.41

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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.