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Finding the Fourth Proportional to 75,466, 113,250.84 and 26,218

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Solution

The fourth proportional to 75,466, 113,250.84 and 26,218 is: 39,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,466 : 113,250.84 = 26,218 : x
  2. Step 2: Convert to fraction form
    75,466/113,250.84 = 26,218/x
  3. Step 3: Cross multiply
    75,466x = 113,250.84 × 26,218
  4. Step 4: Simplify right side
    75,466x = 2,969,210,523.12
  5. Step 5: Solve for x
    x = 2,969,210,523.12/75,466
  6. Step 6: Final answer
    x = 39,345.01

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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.