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Finding the Fourth Proportional to 32,675.90, 49,012.82 and 9,302.33

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Solution

The fourth proportional to 32,675.90, 49,012.82 and 9,302.33 is: 13,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.90 : 49,012.82 = 9,302.33 : x
  2. Step 2: Convert to fraction form
    32,675.90/49,012.82 = 9,302.33/x
  3. Step 3: Cross multiply
    32,675.90x = 49,012.82 × 9,302.33
  4. Step 4: Simplify right side
    32,675.90x = 455,933,134.29
  5. Step 5: Solve for x
    x = 455,933,134.29/32,675.90
  6. Step 6: Final answer
    x = 13,953.19

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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.