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Finding the Fourth Proportional to 32,443.80, 48,638.70 and 13,738.20

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Solution

The fourth proportional to 32,443.80, 48,638.70 and 13,738.20 is: 20,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.80 : 48,638.70 = 13,738.20 : x
  2. Step 2: Convert to fraction form
    32,443.80/48,638.70 = 13,738.20/x
  3. Step 3: Cross multiply
    32,443.80x = 48,638.70 × 13,738.20
  4. Step 4: Simplify right side
    32,443.80x = 668,208,188.34
  5. Step 5: Solve for x
    x = 668,208,188.34/32,443.80
  6. Step 6: Final answer
    x = 20,595.87

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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.