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Finding the Fourth Proportional to 121,696.10, 182,530.32 and 32,956.53

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Solution

The fourth proportional to 121,696.10, 182,530.32 and 32,956.53 is: 49,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,696.10 : 182,530.32 = 32,956.53 : x
  2. Step 2: Convert to fraction form
    121,696.10/182,530.32 = 32,956.53/x
  3. Step 3: Cross multiply
    121,696.10x = 182,530.32 × 32,956.53
  4. Step 4: Simplify right side
    121,696.10x = 6,015,564,889.56
  5. Step 5: Solve for x
    x = 6,015,564,889.56/121,696.10
  6. Step 6: Final answer
    x = 49,431.04

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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.