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Finding the Fourth Proportional to 32,744.92, 49,117.38 and 9,371.44

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Solution

The fourth proportional to 32,744.92, 49,117.38 and 9,371.44 is: 14,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.92 : 49,117.38 = 9,371.44 : x
  2. Step 2: Convert to fraction form
    32,744.92/49,117.38 = 9,371.44/x
  3. Step 3: Cross multiply
    32,744.92x = 49,117.38 × 9,371.44
  4. Step 4: Simplify right side
    32,744.92x = 460,300,579.63
  5. Step 5: Solve for x
    x = 460,300,579.63/32,744.92
  6. Step 6: Final answer
    x = 14,057.16

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1.5x scale

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.