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Finding the Fourth Proportional to 68,321, 94,282.98 and 38,513

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Solution

The fourth proportional to 68,321, 94,282.98 and 38,513 is: 53,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,321 : 94,282.98 = 38,513 : x
  2. Step 2: Convert to fraction form
    68,321/94,282.98 = 38,513/x
  3. Step 3: Cross multiply
    68,321x = 94,282.98 × 38,513
  4. Step 4: Simplify right side
    68,321x = 3,631,120,408.74
  5. Step 5: Solve for x
    x = 3,631,120,408.74/68,321
  6. Step 6: Final answer
    x = 53,147.94

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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.