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Finding the Fourth Proportional to 49,006.50, 73,509.75 and 21,304.50

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Solution

The fourth proportional to 49,006.50, 73,509.75 and 21,304.50 is: 31,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006.50 : 73,509.75 = 21,304.50 : x
  2. Step 2: Convert to fraction form
    49,006.50/73,509.75 = 21,304.50/x
  3. Step 3: Cross multiply
    49,006.50x = 73,509.75 × 21,304.50
  4. Step 4: Simplify right side
    49,006.50x = 1,566,088,468.88
  5. Step 5: Solve for x
    x = 1,566,088,468.88/49,006.50
  6. Step 6: Final answer
    x = 31,956.75

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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.