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Finding the Fourth Proportional to 32,874.32, 45,375 and 20,291.84

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Solution

The fourth proportional to 32,874.32, 45,375 and 20,291.84 is: 28,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.32 : 45,375 = 20,291.84 : x
  2. Step 2: Convert to fraction form
    32,874.32/45,375 = 20,291.84/x
  3. Step 3: Cross multiply
    32,874.32x = 45,375 × 20,291.84
  4. Step 4: Simplify right side
    32,874.32x = 920,742,240
  5. Step 5: Solve for x
    x = 920,742,240/32,874.32
  6. Step 6: Final answer
    x = 28,007.95

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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.