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Finding the Fourth Proportional to 32,480.64, 44,815.53 and 22,405.86

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Solution

The fourth proportional to 32,480.64, 44,815.53 and 22,405.86 is: 30,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.64 : 44,815.53 = 22,405.86 : x
  2. Step 2: Convert to fraction form
    32,480.64/44,815.53 = 22,405.86/x
  3. Step 3: Cross multiply
    32,480.64x = 44,815.53 × 22,405.86
  4. Step 4: Simplify right side
    32,480.64x = 1,004,130,491.01
  5. Step 5: Solve for x
    x = 1,004,130,491.01/32,480.64
  6. Step 6: Final answer
    x = 30,914.74

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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.