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Finding the Fourth Proportional to 33,005.34, 49,523.40 and 19,678.05

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Solution

The fourth proportional to 33,005.34, 49,523.40 and 19,678.05 is: 29,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.34 : 49,523.40 = 19,678.05 : x
  2. Step 2: Convert to fraction form
    33,005.34/49,523.40 = 19,678.05/x
  3. Step 3: Cross multiply
    33,005.34x = 49,523.40 × 19,678.05
  4. Step 4: Simplify right side
    33,005.34x = 974,523,941.37
  5. Step 5: Solve for x
    x = 974,523,941.37/33,005.34
  6. Step 6: Final answer
    x = 29,526.25

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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.