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Finding the Fourth Proportional to 32,812.36, 49,218.94 and 9,439

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Solution

The fourth proportional to 32,812.36, 49,218.94 and 9,439 is: 14,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.36 : 49,218.94 = 9,439 : x
  2. Step 2: Convert to fraction form
    32,812.36/49,218.94 = 9,439/x
  3. Step 3: Cross multiply
    32,812.36x = 49,218.94 × 9,439
  4. Step 4: Simplify right side
    32,812.36x = 464,577,574.66
  5. Step 5: Solve for x
    x = 464,577,574.66/32,812.36
  6. Step 6: Final answer
    x = 14,158.62

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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.