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Finding the Fourth Proportional to 33,537.50, 46,281.75 and 18,633.50

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Solution

The fourth proportional to 33,537.50, 46,281.75 and 18,633.50 is: 25,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.50 : 46,281.75 = 18,633.50 : x
  2. Step 2: Convert to fraction form
    33,537.50/46,281.75 = 18,633.50/x
  3. Step 3: Cross multiply
    33,537.50x = 46,281.75 × 18,633.50
  4. Step 4: Simplify right side
    33,537.50x = 862,390,988.63
  5. Step 5: Solve for x
    x = 862,390,988.63/33,537.50
  6. Step 6: Final answer
    x = 25,714.23

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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.