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Finding the Fourth Proportional to 32,084, 48,119.60 and 11,308.32

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Solution

The fourth proportional to 32,084, 48,119.60 and 11,308.32 is: 16,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084 : 48,119.60 = 11,308.32 : x
  2. Step 2: Convert to fraction form
    32,084/48,119.60 = 11,308.32/x
  3. Step 3: Cross multiply
    32,084x = 48,119.60 × 11,308.32
  4. Step 4: Simplify right side
    32,084x = 544,151,835.07
  5. Step 5: Solve for x
    x = 544,151,835.07/32,084
  6. Step 6: Final answer
    x = 16,960.22

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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.