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Finding the Fourth Proportional to 34,182, 51,281.64 and 9,558

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Solution

The fourth proportional to 34,182, 51,281.64 and 9,558 is: 14,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,182 : 51,281.64 = 9,558 : x
  2. Step 2: Convert to fraction form
    34,182/51,281.64 = 9,558/x
  3. Step 3: Cross multiply
    34,182x = 51,281.64 × 9,558
  4. Step 4: Simplify right side
    34,182x = 490,149,915.12
  5. Step 5: Solve for x
    x = 490,149,915.12/34,182
  6. Step 6: Final answer
    x = 14,339.42

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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.