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Finding the Fourth Proportional to 131,904.60, 197,855.16 and 32,064.48

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Solution

The fourth proportional to 131,904.60, 197,855.16 and 32,064.48 is: 48,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904.60 : 197,855.16 = 32,064.48 : x
  2. Step 2: Convert to fraction form
    131,904.60/197,855.16 = 32,064.48/x
  3. Step 3: Cross multiply
    131,904.60x = 197,855.16 × 32,064.48
  4. Step 4: Simplify right side
    131,904.60x = 6,344,122,820.72
  5. Step 5: Solve for x
    x = 6,344,122,820.72/131,904.60
  6. Step 6: Final answer
    x = 48,096.30

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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.