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Finding the Fourth Proportional to 131,894.40, 197,841.87 and 32,054.75

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Solution

The fourth proportional to 131,894.40, 197,841.87 and 32,054.75 is: 48,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,894.40 : 197,841.87 = 32,054.75 : x
  2. Step 2: Convert to fraction form
    131,894.40/197,841.87 = 32,054.75/x
  3. Step 3: Cross multiply
    131,894.40x = 197,841.87 × 32,054.75
  4. Step 4: Simplify right side
    131,894.40x = 6,341,770,693.17
  5. Step 5: Solve for x
    x = 6,341,770,693.17/131,894.40
  6. Step 6: Final answer
    x = 48,082.18

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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.