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Finding the Fourth Proportional to 49,141, 73,711.50 and 16,309

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Solution

The fourth proportional to 49,141, 73,711.50 and 16,309 is: 24,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,141 : 73,711.50 = 16,309 : x
  2. Step 2: Convert to fraction form
    49,141/73,711.50 = 16,309/x
  3. Step 3: Cross multiply
    49,141x = 73,711.50 × 16,309
  4. Step 4: Simplify right side
    49,141x = 1,202,160,853.50
  5. Step 5: Solve for x
    x = 1,202,160,853.50/49,141
  6. Step 6: Final answer
    x = 24,463.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.