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Finding the Fourth Proportional to 75,442, 113,214.84 and 26,194

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Solution

The fourth proportional to 75,442, 113,214.84 and 26,194 is: 39,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,442 : 113,214.84 = 26,194 : x
  2. Step 2: Convert to fraction form
    75,442/113,214.84 = 26,194/x
  3. Step 3: Cross multiply
    75,442x = 113,214.84 × 26,194
  4. Step 4: Simplify right side
    75,442x = 2,965,549,518.96
  5. Step 5: Solve for x
    x = 2,965,549,518.96/75,442
  6. Step 6: Final answer
    x = 39,309.00

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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.