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Finding the Fourth Proportional to 75,308.56, 112,893.72 and 26,026

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Solution

The fourth proportional to 75,308.56, 112,893.72 and 26,026 is: 39,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.56 : 112,893.72 = 26,026 : x
  2. Step 2: Convert to fraction form
    75,308.56/112,893.72 = 26,026/x
  3. Step 3: Cross multiply
    75,308.56x = 112,893.72 × 26,026
  4. Step 4: Simplify right side
    75,308.56x = 2,938,171,956.72
  5. Step 5: Solve for x
    x = 2,938,171,956.72/75,308.56
  6. Step 6: Final answer
    x = 39,015.11

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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.