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Finding the Fourth Proportional to 32,371.84, 48,563.75 and 12,649.20

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Solution

The fourth proportional to 32,371.84, 48,563.75 and 12,649.20 is: 18,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,371.84 : 48,563.75 = 12,649.20 : x
  2. Step 2: Convert to fraction form
    32,371.84/48,563.75 = 12,649.20/x
  3. Step 3: Cross multiply
    32,371.84x = 48,563.75 × 12,649.20
  4. Step 4: Simplify right side
    32,371.84x = 614,292,586.50
  5. Step 5: Solve for x
    x = 614,292,586.50/32,371.84
  6. Step 6: Final answer
    x = 18,976.14

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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.