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Finding the Fourth Proportional to 75,632, 113,499.84 and 26,384

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Solution

The fourth proportional to 75,632, 113,499.84 and 26,384 is: 39,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,632 : 113,499.84 = 26,384 : x
  2. Step 2: Convert to fraction form
    75,632/113,499.84 = 26,384/x
  3. Step 3: Cross multiply
    75,632x = 113,499.84 × 26,384
  4. Step 4: Simplify right side
    75,632x = 2,994,579,778.56
  5. Step 5: Solve for x
    x = 2,994,579,778.56/75,632
  6. Step 6: Final answer
    x = 39,594.08

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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.