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Finding the Fourth Proportional to 73,602.10, 110,419.44 and 26,854.84

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Solution

The fourth proportional to 73,602.10, 110,419.44 and 26,854.84 is: 40,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,602.10 : 110,419.44 = 26,854.84 : x
  2. Step 2: Convert to fraction form
    73,602.10/110,419.44 = 26,854.84/x
  3. Step 3: Cross multiply
    73,602.10x = 110,419.44 × 26,854.84
  4. Step 4: Simplify right side
    73,602.10x = 2,965,296,394.09
  5. Step 5: Solve for x
    x = 2,965,296,394.09/73,602.10
  6. Step 6: Final answer
    x = 40,288.20

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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.