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Finding the Fourth Proportional to 106,984.86, 160,477.13 and 32,104.89

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Solution

The fourth proportional to 106,984.86, 160,477.13 and 32,104.89 is: 48,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984.86 : 160,477.13 = 32,104.89 : x
  2. Step 2: Convert to fraction form
    106,984.86/160,477.13 = 32,104.89/x
  3. Step 3: Cross multiply
    106,984.86x = 160,477.13 × 32,104.89
  4. Step 4: Simplify right side
    106,984.86x = 5,152,100,445.64
  5. Step 5: Solve for x
    x = 5,152,100,445.64/106,984.86
  6. Step 6: Final answer
    x = 48,157.29

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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.