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Finding the Fourth Proportional to 129,140.79, 193,722.32 and 35,646.54

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Solution

The fourth proportional to 129,140.79, 193,722.32 and 35,646.54 is: 53,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,140.79 : 193,722.32 = 35,646.54 : x
  2. Step 2: Convert to fraction form
    129,140.79/193,722.32 = 35,646.54/x
  3. Step 3: Cross multiply
    129,140.79x = 193,722.32 × 35,646.54
  4. Step 4: Simplify right side
    129,140.79x = 6,905,530,428.77
  5. Step 5: Solve for x
    x = 6,905,530,428.77/129,140.79
  6. Step 6: Final answer
    x = 53,472.88

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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.