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Finding the Fourth Proportional to 32,838.53, 49,266.50 and 11,780.64

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Solution

The fourth proportional to 32,838.53, 49,266.50 and 11,780.64 is: 17,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.53 : 49,266.50 = 11,780.64 : x
  2. Step 2: Convert to fraction form
    32,838.53/49,266.50 = 11,780.64/x
  3. Step 3: Cross multiply
    32,838.53x = 49,266.50 × 11,780.64
  4. Step 4: Simplify right side
    32,838.53x = 580,390,841.66
  5. Step 5: Solve for x
    x = 580,390,841.66/32,838.53
  6. Step 6: Final answer
    x = 17,674.08

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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.