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Finding the Fourth Proportional to 75,637, 113,507.34 and 26,389

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Solution

The fourth proportional to 75,637, 113,507.34 and 26,389 is: 39,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,637 : 113,507.34 = 26,389 : x
  2. Step 2: Convert to fraction form
    75,637/113,507.34 = 26,389/x
  3. Step 3: Cross multiply
    75,637x = 113,507.34 × 26,389
  4. Step 4: Simplify right side
    75,637x = 2,995,345,195.26
  5. Step 5: Solve for x
    x = 2,995,345,195.26/75,637
  6. Step 6: Final answer
    x = 39,601.59

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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.