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Finding the Fourth Proportional to 75,615.45, 113,423.16 and 26,367.45

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Solution

The fourth proportional to 75,615.45, 113,423.16 and 26,367.45 is: 39,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,615.45 : 113,423.16 = 26,367.45 : x
  2. Step 2: Convert to fraction form
    75,615.45/113,423.16 = 26,367.45/x
  3. Step 3: Cross multiply
    75,615.45x = 113,423.16 × 26,367.45
  4. Step 4: Simplify right side
    75,615.45x = 2,990,679,500.14
  5. Step 5: Solve for x
    x = 2,990,679,500.14/75,615.45
  6. Step 6: Final answer
    x = 39,551.17

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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.