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Finding the Fourth Proportional to 92,650.60, 138,962.94 and 30,313

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Solution

The fourth proportional to 92,650.60, 138,962.94 and 30,313 is: 45,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,650.60 : 138,962.94 = 30,313 : x
  2. Step 2: Convert to fraction form
    92,650.60/138,962.94 = 30,313/x
  3. Step 3: Cross multiply
    92,650.60x = 138,962.94 × 30,313
  4. Step 4: Simplify right side
    92,650.60x = 4,212,383,600.22
  5. Step 5: Solve for x
    x = 4,212,383,600.22/92,650.60
  6. Step 6: Final answer
    x = 45,465.26

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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.