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Finding the Fourth Proportional to 75,381.50, 113,124.09 and 26,133.50

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Solution

The fourth proportional to 75,381.50, 113,124.09 and 26,133.50 is: 39,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,381.50 : 113,124.09 = 26,133.50 : x
  2. Step 2: Convert to fraction form
    75,381.50/113,124.09 = 26,133.50/x
  3. Step 3: Cross multiply
    75,381.50x = 113,124.09 × 26,133.50
  4. Step 4: Simplify right side
    75,381.50x = 2,956,328,406.02
  5. Step 5: Solve for x
    x = 2,956,328,406.02/75,381.50
  6. Step 6: Final answer
    x = 39,218.22

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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.