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Finding the Fourth Proportional to 65,595.91, 90,506.32 and 36,910

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Solution

The fourth proportional to 65,595.91, 90,506.32 and 36,910 is: 50,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,595.91 : 90,506.32 = 36,910 : x
  2. Step 2: Convert to fraction form
    65,595.91/90,506.32 = 36,910/x
  3. Step 3: Cross multiply
    65,595.91x = 90,506.32 × 36,910
  4. Step 4: Simplify right side
    65,595.91x = 3,340,588,271.20
  5. Step 5: Solve for x
    x = 3,340,588,271.20/65,595.91
  6. Step 6: Final answer
    x = 50,926.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.