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Finding the Fourth Proportional to 92,284, 138,449.12 and 26,620

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Solution

The fourth proportional to 92,284, 138,449.12 and 26,620 is: 39,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,284 : 138,449.12 = 26,620 : x
  2. Step 2: Convert to fraction form
    92,284/138,449.12 = 26,620/x
  3. Step 3: Cross multiply
    92,284x = 138,449.12 × 26,620
  4. Step 4: Simplify right side
    92,284x = 3,685,515,574.40
  5. Step 5: Solve for x
    x = 3,685,515,574.40/92,284
  6. Step 6: Final answer
    x = 39,936.67

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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.