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Finding the Fourth Proportional to 31,029.49, 46,546.98 and 8,842.38

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Solution

The fourth proportional to 31,029.49, 46,546.98 and 8,842.38 is: 13,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.49 : 46,546.98 = 8,842.38 : x
  2. Step 2: Convert to fraction form
    31,029.49/46,546.98 = 8,842.38/x
  3. Step 3: Cross multiply
    31,029.49x = 46,546.98 × 8,842.38
  4. Step 4: Simplify right side
    31,029.49x = 411,586,085.01
  5. Step 5: Solve for x
    x = 411,586,085.01/31,029.49
  6. Step 6: Final answer
    x = 13,264.35

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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.