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Finding the Fourth Proportional to 45,153, 67,729.50 and 12,321

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Solution

The fourth proportional to 45,153, 67,729.50 and 12,321 is: 18,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,153 : 67,729.50 = 12,321 : x
  2. Step 2: Convert to fraction form
    45,153/67,729.50 = 12,321/x
  3. Step 3: Cross multiply
    45,153x = 67,729.50 × 12,321
  4. Step 4: Simplify right side
    45,153x = 834,495,169.50
  5. Step 5: Solve for x
    x = 834,495,169.50/45,153
  6. Step 6: Final answer
    x = 18,481.50

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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.