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Finding the Fourth Proportional to 78,310.58, 117,464.82 and 19,146.76

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Solution

The fourth proportional to 78,310.58, 117,464.82 and 19,146.76 is: 28,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.58 : 117,464.82 = 19,146.76 : x
  2. Step 2: Convert to fraction form
    78,310.58/117,464.82 = 19,146.76/x
  3. Step 3: Cross multiply
    78,310.58x = 117,464.82 × 19,146.76
  4. Step 4: Simplify right side
    78,310.58x = 2,249,070,716.98
  5. Step 5: Solve for x
    x = 2,249,070,716.98/78,310.58
  6. Step 6: Final answer
    x = 28,719.88

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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.