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Finding the Fourth Proportional to 32,438.44, 44,765 and 17,534.44

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Solution

The fourth proportional to 32,438.44, 44,765 and 17,534.44 is: 24,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.44 : 44,765 = 17,534.44 : x
  2. Step 2: Convert to fraction form
    32,438.44/44,765 = 17,534.44/x
  3. Step 3: Cross multiply
    32,438.44x = 44,765 × 17,534.44
  4. Step 4: Simplify right side
    32,438.44x = 784,929,206.60
  5. Step 5: Solve for x
    x = 784,929,206.60/32,438.44
  6. Step 6: Final answer
    x = 24,197.50

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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.