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Finding the Fourth Proportional to 32,959.14, 49,446.81 and 9,585.78

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Solution

The fourth proportional to 32,959.14, 49,446.81 and 9,585.78 is: 14,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.14 : 49,446.81 = 9,585.78 : x
  2. Step 2: Convert to fraction form
    32,959.14/49,446.81 = 9,585.78/x
  3. Step 3: Cross multiply
    32,959.14x = 49,446.81 × 9,585.78
  4. Step 4: Simplify right side
    32,959.14x = 473,986,242.36
  5. Step 5: Solve for x
    x = 473,986,242.36/32,959.14
  6. Step 6: Final answer
    x = 14,381.03

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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.