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Finding the Fourth Proportional to 75,633, 113,501.34 and 26,385

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Solution

The fourth proportional to 75,633, 113,501.34 and 26,385 is: 39,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,633 : 113,501.34 = 26,385 : x
  2. Step 2: Convert to fraction form
    75,633/113,501.34 = 26,385/x
  3. Step 3: Cross multiply
    75,633x = 113,501.34 × 26,385
  4. Step 4: Simplify right side
    75,633x = 2,994,732,855.90
  5. Step 5: Solve for x
    x = 2,994,732,855.90/75,633
  6. Step 6: Final answer
    x = 39,595.58

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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.