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Finding the Fourth Proportional to 49,303, 73,954.50 and 16,471

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Solution

The fourth proportional to 49,303, 73,954.50 and 16,471 is: 24,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,303 : 73,954.50 = 16,471 : x
  2. Step 2: Convert to fraction form
    49,303/73,954.50 = 16,471/x
  3. Step 3: Cross multiply
    49,303x = 73,954.50 × 16,471
  4. Step 4: Simplify right side
    49,303x = 1,218,104,569.50
  5. Step 5: Solve for x
    x = 1,218,104,569.50/49,303
  6. Step 6: Final answer
    x = 24,706.50

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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.