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Finding the Fourth Proportional to 32,554.30, 48,836.32 and 11,782.66

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Solution

The fourth proportional to 32,554.30, 48,836.32 and 11,782.66 is: 17,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554.30 : 48,836.32 = 11,782.66 : x
  2. Step 2: Convert to fraction form
    32,554.30/48,836.32 = 11,782.66/x
  3. Step 3: Cross multiply
    32,554.30x = 48,836.32 × 11,782.66
  4. Step 4: Simplify right side
    32,554.30x = 575,421,661.58
  5. Step 5: Solve for x
    x = 575,421,661.58/32,554.30
  6. Step 6: Final answer
    x = 17,675.75

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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.