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Finding the Fourth Proportional to 129,307.38, 193,961.06 and 35,813.13

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Solution

The fourth proportional to 129,307.38, 193,961.06 and 35,813.13 is: 53,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,307.38 : 193,961.06 = 35,813.13 : x
  2. Step 2: Convert to fraction form
    129,307.38/193,961.06 = 35,813.13/x
  3. Step 3: Cross multiply
    129,307.38x = 193,961.06 × 35,813.13
  4. Step 4: Simplify right side
    129,307.38x = 6,946,352,656.72
  5. Step 5: Solve for x
    x = 6,946,352,656.72/129,307.38
  6. Step 6: Final answer
    x = 53,719.69

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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.