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Finding the Fourth Proportional to 109,952.56, 164,935.50 and 31,072.69

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Solution

The fourth proportional to 109,952.56, 164,935.50 and 31,072.69 is: 46,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,952.56 : 164,935.50 = 31,072.69 : x
  2. Step 2: Convert to fraction form
    109,952.56/164,935.50 = 31,072.69/x
  3. Step 3: Cross multiply
    109,952.56x = 164,935.50 × 31,072.69
  4. Step 4: Simplify right side
    109,952.56x = 5,124,989,661.50
  5. Step 5: Solve for x
    x = 5,124,989,661.50/109,952.56
  6. Step 6: Final answer
    x = 46,610.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.