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Finding the Fourth Proportional to 78,103.53, 107,799.66 and 50,913.59

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Solution

The fourth proportional to 78,103.53, 107,799.66 and 50,913.59 is: 70,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.53 : 107,799.66 = 50,913.59 : x
  2. Step 2: Convert to fraction form
    78,103.53/107,799.66 = 50,913.59/x
  3. Step 3: Cross multiply
    78,103.53x = 107,799.66 × 50,913.59
  4. Step 4: Simplify right side
    78,103.53x = 5,488,467,152.38
  5. Step 5: Solve for x
    x = 5,488,467,152.38/78,103.53
  6. Step 6: Final answer
    x = 70,271.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.