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Finding the Fourth Proportional to 32,953.50, 45,478.26 and 20,380.68

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Solution

The fourth proportional to 32,953.50, 45,478.26 and 20,380.68 is: 28,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.50 : 45,478.26 = 20,380.68 : x
  2. Step 2: Convert to fraction form
    32,953.50/45,478.26 = 20,380.68/x
  3. Step 3: Cross multiply
    32,953.50x = 45,478.26 × 20,380.68
  4. Step 4: Simplify right side
    32,953.50x = 926,877,864.02
  5. Step 5: Solve for x
    x = 926,877,864.02/32,953.50
  6. Step 6: Final answer
    x = 28,126.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.